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Finding the Fourth Proportional to 649,338.20, 974,007.30 and 176,022.80

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Solution

The fourth proportional to 649,338.20, 974,007.30 and 176,022.80 is: 264,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,338.20 : 974,007.30 = 176,022.80 : x
  2. Step 2: Convert to fraction form
    649,338.20/974,007.30 = 176,022.80/x
  3. Step 3: Cross multiply
    649,338.20x = 974,007.30 × 176,022.80
  4. Step 4: Simplify right side
    649,338.20x = 171,447,492,166.44
  5. Step 5: Solve for x
    x = 171,447,492,166.44/649,338.20
  6. Step 6: Final answer
    x = 264,034.20

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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.