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Finding the Fourth Proportional to 570,642, 787,350.72 and 337,951.40

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Solution

The fourth proportional to 570,642, 787,350.72 and 337,951.40 is: 466,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,642 : 787,350.72 = 337,951.40 : x
  2. Step 2: Convert to fraction form
    570,642/787,350.72 = 337,951.40/x
  3. Step 3: Cross multiply
    570,642x = 787,350.72 × 337,951.40
  4. Step 4: Simplify right side
    570,642x = 266,086,278,115.01
  5. Step 5: Solve for x
    x = 266,086,278,115.01/570,642
  6. Step 6: Final answer
    x = 466,292.84

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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.