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Finding the Fourth Proportional to 522,259.38, 782,339.31 and 272,416.50

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Solution

The fourth proportional to 522,259.38, 782,339.31 and 272,416.50 is: 408,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,259.38 : 782,339.31 = 272,416.50 : x
  2. Step 2: Convert to fraction form
    522,259.38/782,339.31 = 272,416.50/x
  3. Step 3: Cross multiply
    522,259.38x = 782,339.31 × 272,416.50
  4. Step 4: Simplify right side
    522,259.38x = 213,122,136,642.62
  5. Step 5: Solve for x
    x = 213,122,136,642.62/522,259.38
  6. Step 6: Final answer
    x = 408,077.18

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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.