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Finding the Fourth Proportional to 649,715.65, 974,712.53 and 194,342.61

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Solution

The fourth proportional to 649,715.65, 974,712.53 and 194,342.61 is: 291,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,715.65 : 974,712.53 = 194,342.61 : x
  2. Step 2: Convert to fraction form
    649,715.65/974,712.53 = 194,342.61/x
  3. Step 3: Cross multiply
    649,715.65x = 974,712.53 × 194,342.61
  4. Step 4: Simplify right side
    649,715.65x = 189,428,171,234.63
  5. Step 5: Solve for x
    x = 189,428,171,234.63/649,715.65
  6. Step 6: Final answer
    x = 291,555.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.