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Finding the Fourth Proportional to 649,657.66, 974,475.60 and 194,249.92

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Solution

The fourth proportional to 649,657.66, 974,475.60 and 194,249.92 is: 291,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,657.66 : 974,475.60 = 194,249.92 : x
  2. Step 2: Convert to fraction form
    649,657.66/974,475.60 = 194,249.92/x
  3. Step 3: Cross multiply
    649,657.66x = 974,475.60 × 194,249.92
  4. Step 4: Simplify right side
    649,657.66x = 189,291,807,341.95
  5. Step 5: Solve for x
    x = 189,291,807,341.95/649,657.66
  6. Step 6: Final answer
    x = 291,371.62

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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.