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Finding the Fourth Proportional to 649,656.66, 974,474.10 and 194,248.92

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Solution

The fourth proportional to 649,656.66, 974,474.10 and 194,248.92 is: 291,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,656.66 : 974,474.10 = 194,248.92 : x
  2. Step 2: Convert to fraction form
    649,656.66/974,474.10 = 194,248.92/x
  3. Step 3: Cross multiply
    649,656.66x = 974,474.10 × 194,248.92
  4. Step 4: Simplify right side
    649,656.66x = 189,290,541,492.97
  5. Step 5: Solve for x
    x = 189,290,541,492.97/649,656.66
  6. Step 6: Final answer
    x = 291,370.12

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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.