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Finding the Fourth Proportional to 649,566, 974,233.98 and 176,288.16

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Solution

The fourth proportional to 649,566, 974,233.98 and 176,288.16 is: 264,401.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,566 : 974,233.98 = 176,288.16 : x
  2. Step 2: Convert to fraction form
    649,566/974,233.98 = 176,288.16/x
  3. Step 3: Cross multiply
    649,566x = 974,233.98 × 176,288.16
  4. Step 4: Simplify right side
    649,566x = 171,745,915,743.68
  5. Step 5: Solve for x
    x = 171,745,915,743.68/649,566
  6. Step 6: Final answer
    x = 264,401.02

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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.