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Finding the Fourth Proportional to 649,701.89, 974,691.91 and 194,328.85

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Solution

The fourth proportional to 649,701.89, 974,691.91 and 194,328.85 is: 291,534.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,701.89 : 974,691.91 = 194,328.85 : x
  2. Step 2: Convert to fraction form
    649,701.89/974,691.91 = 194,328.85/x
  3. Step 3: Cross multiply
    649,701.89x = 974,691.91 × 194,328.85
  4. Step 4: Simplify right side
    649,701.89x = 189,410,754,320.46
  5. Step 5: Solve for x
    x = 189,410,754,320.46/649,701.89
  6. Step 6: Final answer
    x = 291,534.87

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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.