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Finding the Fourth Proportional to 432,654.20, 596,219.28 and 311,566.70

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Solution

The fourth proportional to 432,654.20, 596,219.28 and 311,566.70 is: 429,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,654.20 : 596,219.28 = 311,566.70 : x
  2. Step 2: Convert to fraction form
    432,654.20/596,219.28 = 311,566.70/x
  3. Step 3: Cross multiply
    432,654.20x = 596,219.28 × 311,566.70
  4. Step 4: Simplify right side
    432,654.20x = 185,762,073,545.98
  5. Step 5: Solve for x
    x = 185,762,073,545.98/432,654.20
  6. Step 6: Final answer
    x = 429,354.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.