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Finding the Fourth Proportional to 521,921.28, 781,899.78 and 409,259.40

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Solution

The fourth proportional to 521,921.28, 781,899.78 and 409,259.40 is: 613,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,921.28 : 781,899.78 = 409,259.40 : x
  2. Step 2: Convert to fraction form
    521,921.28/781,899.78 = 409,259.40/x
  3. Step 3: Cross multiply
    521,921.28x = 781,899.78 × 409,259.40
  4. Step 4: Simplify right side
    521,921.28x = 319,999,834,822.93
  5. Step 5: Solve for x
    x = 319,999,834,822.93/521,921.28
  6. Step 6: Final answer
    x = 613,118.96

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