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Finding the Fourth Proportional to 514,875.86, 710,862.20 and 331,196.57

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Solution

The fourth proportional to 514,875.86, 710,862.20 and 331,196.57 is: 457,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,875.86 : 710,862.20 = 331,196.57 : x
  2. Step 2: Convert to fraction form
    514,875.86/710,862.20 = 331,196.57/x
  3. Step 3: Cross multiply
    514,875.86x = 710,862.20 × 331,196.57
  4. Step 4: Simplify right side
    514,875.86x = 235,435,121,080.08
  5. Step 5: Solve for x
    x = 235,435,121,080.08/514,875.86
  6. Step 6: Final answer
    x = 457,265.80

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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.