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Finding the Fourth Proportional to 641,641, 962,461.50 and 198,409

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Solution

The fourth proportional to 641,641, 962,461.50 and 198,409 is: 297,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,641 : 962,461.50 = 198,409 : x
  2. Step 2: Convert to fraction form
    641,641/962,461.50 = 198,409/x
  3. Step 3: Cross multiply
    641,641x = 962,461.50 × 198,409
  4. Step 4: Simplify right side
    641,641x = 190,961,023,753.50
  5. Step 5: Solve for x
    x = 190,961,023,753.50/641,641
  6. Step 6: Final answer
    x = 297,613.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.