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Finding the Fourth Proportional to 549,708.30, 824,562.45 and 461,134.80

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Solution

The fourth proportional to 549,708.30, 824,562.45 and 461,134.80 is: 691,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,708.30 : 824,562.45 = 461,134.80 : x
  2. Step 2: Convert to fraction form
    549,708.30/824,562.45 = 461,134.80/x
  3. Step 3: Cross multiply
    549,708.30x = 824,562.45 × 461,134.80
  4. Step 4: Simplify right side
    549,708.30x = 380,234,440,468.26
  5. Step 5: Solve for x
    x = 380,234,440,468.26/549,708.30
  6. Step 6: Final answer
    x = 691,702.20

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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.