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Finding the Fourth Proportional to 385,905.24, 532,615.14 and 224,855.73

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Solution

The fourth proportional to 385,905.24, 532,615.14 and 224,855.73 is: 310,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,905.24 : 532,615.14 = 224,855.73 : x
  2. Step 2: Convert to fraction form
    385,905.24/532,615.14 = 224,855.73/x
  3. Step 3: Cross multiply
    385,905.24x = 532,615.14 × 224,855.73
  4. Step 4: Simplify right side
    385,905.24x = 119,761,566,113.75
  5. Step 5: Solve for x
    x = 119,761,566,113.75/385,905.24
  6. Step 6: Final answer
    x = 310,339.31

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