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Finding the Fourth Proportional to 472,166.55, 708,387.72 and 152,311.35

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Solution

The fourth proportional to 472,166.55, 708,387.72 and 152,311.35 is: 228,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,166.55 : 708,387.72 = 152,311.35 : x
  2. Step 2: Convert to fraction form
    472,166.55/708,387.72 = 152,311.35/x
  3. Step 3: Cross multiply
    472,166.55x = 708,387.72 × 152,311.35
  4. Step 4: Simplify right side
    472,166.55x = 107,895,489,956.62
  5. Step 5: Solve for x
    x = 107,895,489,956.62/472,166.55
  6. Step 6: Final answer
    x = 228,511.51

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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.