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Finding the Fourth Proportional to 576,564.67, 864,145.14 and 408,132.73

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Solution

The fourth proportional to 576,564.67, 864,145.14 and 408,132.73 is: 611,702.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,564.67 : 864,145.14 = 408,132.73 : x
  2. Step 2: Convert to fraction form
    576,564.67/864,145.14 = 408,132.73/x
  3. Step 3: Cross multiply
    576,564.67x = 864,145.14 × 408,132.73
  4. Step 4: Simplify right side
    576,564.67x = 352,685,915,104.43
  5. Step 5: Solve for x
    x = 352,685,915,104.43/576,564.67
  6. Step 6: Final answer
    x = 611,702.27

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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.