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Finding the Fourth Proportional to 411,200.70, 616,801.05 and 201,248.70

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Solution

The fourth proportional to 411,200.70, 616,801.05 and 201,248.70 is: 301,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,200.70 : 616,801.05 = 201,248.70 : x
  2. Step 2: Convert to fraction form
    411,200.70/616,801.05 = 201,248.70/x
  3. Step 3: Cross multiply
    411,200.70x = 616,801.05 × 201,248.70
  4. Step 4: Simplify right side
    411,200.70x = 124,130,409,471.14
  5. Step 5: Solve for x
    x = 124,130,409,471.14/411,200.70
  6. Step 6: Final answer
    x = 301,873.05

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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.