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Finding the Fourth Proportional to 649,641.45, 974,461.69 and 176,396.25

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Solution

The fourth proportional to 649,641.45, 974,461.69 and 176,396.25 is: 264,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,641.45 : 974,461.69 = 176,396.25 : x
  2. Step 2: Convert to fraction form
    649,641.45/974,461.69 = 176,396.25/x
  3. Step 3: Cross multiply
    649,641.45x = 974,461.69 × 176,396.25
  4. Step 4: Simplify right side
    649,641.45x = 171,891,387,884.66
  5. Step 5: Solve for x
    x = 171,891,387,884.66/649,641.45
  6. Step 6: Final answer
    x = 264,594.24

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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.