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Finding the Fourth Proportional to 472,037.61, 651,419.38 and 257,177.62

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Solution

The fourth proportional to 472,037.61, 651,419.38 and 257,177.62 is: 354,909.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,037.61 : 651,419.38 = 257,177.62 : x
  2. Step 2: Convert to fraction form
    472,037.61/651,419.38 = 257,177.62/x
  3. Step 3: Cross multiply
    472,037.61x = 651,419.38 × 257,177.62
  4. Step 4: Simplify right side
    472,037.61x = 167,530,485,770.28
  5. Step 5: Solve for x
    x = 167,530,485,770.28/472,037.61
  6. Step 6: Final answer
    x = 354,909.19

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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.