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Finding the Fourth Proportional to 417,442.14, 626,253.93 and 136,948.86

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Solution

The fourth proportional to 417,442.14, 626,253.93 and 136,948.86 is: 205,453.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,442.14 : 626,253.93 = 136,948.86 : x
  2. Step 2: Convert to fraction form
    417,442.14/626,253.93 = 136,948.86/x
  3. Step 3: Cross multiply
    417,442.14x = 626,253.93 × 136,948.86
  4. Step 4: Simplify right side
    417,442.14x = 85,764,761,784.02
  5. Step 5: Solve for x
    x = 85,764,761,784.02/417,442.14
  6. Step 6: Final answer
    x = 205,453.05

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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.