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Finding the Fourth Proportional to 577,103.61, 865,382.97 and 337,286.31

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Solution

The fourth proportional to 577,103.61, 865,382.97 and 337,286.31 is: 505,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,103.61 : 865,382.97 = 337,286.31 : x
  2. Step 2: Convert to fraction form
    577,103.61/865,382.97 = 337,286.31/x
  3. Step 3: Cross multiply
    577,103.61x = 865,382.97 × 337,286.31
  4. Step 4: Simplify right side
    577,103.61x = 291,881,828,688.14
  5. Step 5: Solve for x
    x = 291,881,828,688.14/577,103.61
  6. Step 6: Final answer
    x = 505,770.24

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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.