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Finding the Fourth Proportional to 577,114.59, 865,715.37 and 172,274.82

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Solution

The fourth proportional to 577,114.59, 865,715.37 and 172,274.82 is: 258,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,114.59 : 865,715.37 = 172,274.82 : x
  2. Step 2: Convert to fraction form
    577,114.59/865,715.37 = 172,274.82/x
  3. Step 3: Cross multiply
    577,114.59x = 865,715.37 × 172,274.82
  4. Step 4: Simplify right side
    577,114.59x = 149,140,955,209.41
  5. Step 5: Solve for x
    x = 149,140,955,209.41/577,114.59
  6. Step 6: Final answer
    x = 258,425.21

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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.