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Finding the Fourth Proportional to 412,428.51, 569,188.01 and 240,337.13

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Solution

The fourth proportional to 412,428.51, 569,188.01 and 240,337.13 is: 331,686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,428.51 : 569,188.01 = 240,337.13 : x
  2. Step 2: Convert to fraction form
    412,428.51/569,188.01 = 240,337.13/x
  3. Step 3: Cross multiply
    412,428.51x = 569,188.01 × 240,337.13
  4. Step 4: Simplify right side
    412,428.51x = 136,797,010,508.71
  5. Step 5: Solve for x
    x = 136,797,010,508.71/412,428.51
  6. Step 6: Final answer
    x = 331,686.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.