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Finding the Fourth Proportional to 577,114.89, 865,715.85 and 172,275.13

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Solution

The fourth proportional to 577,114.89, 865,715.85 and 172,275.13 is: 258,425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,114.89 : 865,715.85 = 172,275.13 : x
  2. Step 2: Convert to fraction form
    577,114.89/865,715.85 = 172,275.13/x
  3. Step 3: Cross multiply
    577,114.89x = 865,715.85 × 172,275.13
  4. Step 4: Simplify right side
    577,114.89x = 149,141,310,601.81
  5. Step 5: Solve for x
    x = 149,141,310,601.81/577,114.89
  6. Step 6: Final answer
    x = 258,425.68

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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.