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Finding the Fourth Proportional to 649,645.70, 974,468.07 and 176,400.50

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Solution

The fourth proportional to 649,645.70, 974,468.07 and 176,400.50 is: 264,600.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,645.70 : 974,468.07 = 176,400.50 : x
  2. Step 2: Convert to fraction form
    649,645.70/974,468.07 = 176,400.50/x
  3. Step 3: Cross multiply
    649,645.70x = 974,468.07 × 176,400.50
  4. Step 4: Simplify right side
    649,645.70x = 171,896,654,782.04
  5. Step 5: Solve for x
    x = 171,896,654,782.04/649,645.70
  6. Step 6: Final answer
    x = 264,600.62

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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.