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Finding the Fourth Proportional to 472,347.60, 708,456.60 and 156,771.60

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Solution

The fourth proportional to 472,347.60, 708,456.60 and 156,771.60 is: 235,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,347.60 : 708,456.60 = 156,771.60 : x
  2. Step 2: Convert to fraction form
    472,347.60/708,456.60 = 156,771.60/x
  3. Step 3: Cross multiply
    472,347.60x = 708,456.60 × 156,771.60
  4. Step 4: Simplify right side
    472,347.60x = 111,065,874,712.56
  5. Step 5: Solve for x
    x = 111,065,874,712.56/472,347.60
  6. Step 6: Final answer
    x = 235,135.89

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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.