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Finding the Fourth Proportional to 463,411.10, 695,116.65 and 197,180.30

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Solution

The fourth proportional to 463,411.10, 695,116.65 and 197,180.30 is: 295,770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,411.10 : 695,116.65 = 197,180.30 : x
  2. Step 2: Convert to fraction form
    463,411.10/695,116.65 = 197,180.30/x
  3. Step 3: Cross multiply
    463,411.10x = 695,116.65 × 197,180.30
  4. Step 4: Simplify right side
    463,411.10x = 137,063,309,582.00
  5. Step 5: Solve for x
    x = 137,063,309,582.00/463,411.10
  6. Step 6: Final answer
    x = 295,770.45

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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.