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Finding the Fourth Proportional to 649,714.50, 974,560.70 and 194,306.78

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Solution

The fourth proportional to 649,714.50, 974,560.70 and 194,306.78 is: 291,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,714.50 : 974,560.70 = 194,306.78 : x
  2. Step 2: Convert to fraction form
    649,714.50/974,560.70 = 194,306.78/x
  3. Step 3: Cross multiply
    649,714.50x = 974,560.70 × 194,306.78
  4. Step 4: Simplify right side
    649,714.50x = 189,363,749,095.14
  5. Step 5: Solve for x
    x = 189,363,749,095.14/649,714.50
  6. Step 6: Final answer
    x = 291,456.86

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1.5x scale

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.