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Finding the Fourth Proportional to 472,458.88, 708,678.60 and 156,918.52

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Solution

The fourth proportional to 472,458.88, 708,678.60 and 156,918.52 is: 235,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,458.88 : 708,678.60 = 156,918.52 : x
  2. Step 2: Convert to fraction form
    472,458.88/708,678.60 = 156,918.52/x
  3. Step 3: Cross multiply
    472,458.88x = 708,678.60 × 156,918.52
  4. Step 4: Simplify right side
    472,458.88x = 111,204,797,067.67
  5. Step 5: Solve for x
    x = 111,204,797,067.67/472,458.88
  6. Step 6: Final answer
    x = 235,374.55

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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.