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Finding the Fourth Proportional to 416,117.38, 574,829.86 and 331,125.70

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Solution

The fourth proportional to 416,117.38, 574,829.86 and 331,125.70 is: 457,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,117.38 : 574,829.86 = 331,125.70 : x
  2. Step 2: Convert to fraction form
    416,117.38/574,829.86 = 331,125.70/x
  3. Step 3: Cross multiply
    416,117.38x = 574,829.86 × 331,125.70
  4. Step 4: Simplify right side
    416,117.38x = 190,340,939,773.40
  5. Step 5: Solve for x
    x = 190,340,939,773.40/416,117.38
  6. Step 6: Final answer
    x = 457,421.27

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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.