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Finding the Fourth Proportional to 472,294.16, 708,277.20 and 156,677.25

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Solution

The fourth proportional to 472,294.16, 708,277.20 and 156,677.25 is: 234,961.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,294.16 : 708,277.20 = 156,677.25 : x
  2. Step 2: Convert to fraction form
    472,294.16/708,277.20 = 156,677.25/x
  3. Step 3: Cross multiply
    472,294.16x = 708,277.20 × 156,677.25
  4. Step 4: Simplify right side
    472,294.16x = 110,970,923,933.70
  5. Step 5: Solve for x
    x = 110,970,923,933.70/472,294.16
  6. Step 6: Final answer
    x = 234,961.46

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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.