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Finding the Fourth Proportional to 472,474.30, 708,257.85 and 156,768.70

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Solution

The fourth proportional to 472,474.30, 708,257.85 and 156,768.70 is: 235,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,474.30 : 708,257.85 = 156,768.70 : x
  2. Step 2: Convert to fraction form
    472,474.30/708,257.85 = 156,768.70/x
  3. Step 3: Cross multiply
    472,474.30x = 708,257.85 × 156,768.70
  4. Step 4: Simplify right side
    472,474.30x = 111,032,662,409.30
  5. Step 5: Solve for x
    x = 111,032,662,409.30/472,474.30
  6. Step 6: Final answer
    x = 235,002.54

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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.