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Finding the Fourth Proportional to 576,566.67, 864,148.14 and 408,134.73

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Solution

The fourth proportional to 576,566.67, 864,148.14 and 408,134.73 is: 611,705.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,566.67 : 864,148.14 = 408,134.73 : x
  2. Step 2: Convert to fraction form
    576,566.67/864,148.14 = 408,134.73/x
  3. Step 3: Cross multiply
    576,566.67x = 864,148.14 × 408,134.73
  4. Step 4: Simplify right side
    576,566.67x = 352,688,867,798.90
  5. Step 5: Solve for x
    x = 352,688,867,798.90/576,566.67
  6. Step 6: Final answer
    x = 611,705.27

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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.