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Finding the Fourth Proportional to 521,006.81, 719,028.09 and 291,587.13

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Solution

The fourth proportional to 521,006.81, 719,028.09 and 291,587.13 is: 402,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,006.81 : 719,028.09 = 291,587.13 : x
  2. Step 2: Convert to fraction form
    521,006.81/719,028.09 = 291,587.13/x
  3. Step 3: Cross multiply
    521,006.81x = 719,028.09 × 291,587.13
  4. Step 4: Simplify right side
    521,006.81x = 209,659,337,152.48
  5. Step 5: Solve for x
    x = 209,659,337,152.48/521,006.81
  6. Step 6: Final answer
    x = 402,411.90

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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.