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Finding the Fourth Proportional to 649,678.72, 974,623.20 and 200,294.52

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Solution

The fourth proportional to 649,678.72, 974,623.20 and 200,294.52 is: 300,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,678.72 : 974,623.20 = 200,294.52 : x
  2. Step 2: Convert to fraction form
    649,678.72/974,623.20 = 200,294.52/x
  3. Step 3: Cross multiply
    649,678.72x = 974,623.20 × 200,294.52
  4. Step 4: Simplify right side
    649,678.72x = 195,211,686,024.86
  5. Step 5: Solve for x
    x = 195,211,686,024.86/649,678.72
  6. Step 6: Final answer
    x = 300,474.19

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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.