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Finding the Fourth Proportional to 472,164.96, 708,385.85 and 152,310.44

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Solution

The fourth proportional to 472,164.96, 708,385.85 and 152,310.44 is: 228,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,164.96 : 708,385.85 = 152,310.44 : x
  2. Step 2: Convert to fraction form
    472,164.96/708,385.85 = 152,310.44/x
  3. Step 3: Cross multiply
    472,164.96x = 708,385.85 × 152,310.44
  4. Step 4: Simplify right side
    472,164.96x = 107,894,560,503.27
  5. Step 5: Solve for x
    x = 107,894,560,503.27/472,164.96
  6. Step 6: Final answer
    x = 228,510.31

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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.