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Finding the Fourth Proportional to 416,410.62, 574,646.53 and 225,423.87

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Solution

The fourth proportional to 416,410.62, 574,646.53 and 225,423.87 is: 311,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,410.62 : 574,646.53 = 225,423.87 : x
  2. Step 2: Convert to fraction form
    416,410.62/574,646.53 = 225,423.87/x
  3. Step 3: Cross multiply
    416,410.62x = 574,646.53 × 225,423.87
  4. Step 4: Simplify right side
    416,410.62x = 129,539,044,674.67
  5. Step 5: Solve for x
    x = 129,539,044,674.67/416,410.62
  6. Step 6: Final answer
    x = 311,084.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.