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Finding the Fourth Proportional to 649,544.36, 974,317 and 176,229.68

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Solution

The fourth proportional to 649,544.36, 974,317 and 176,229.68 is: 264,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,544.36 : 974,317 = 176,229.68 : x
  2. Step 2: Convert to fraction form
    649,544.36/974,317 = 176,229.68/x
  3. Step 3: Cross multiply
    649,544.36x = 974,317 × 176,229.68
  4. Step 4: Simplify right side
    649,544.36x = 171,703,573,128.56
  5. Step 5: Solve for x
    x = 171,703,573,128.56/649,544.36
  6. Step 6: Final answer
    x = 264,344.64

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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.