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Finding the Fourth Proportional to 292,099.20, 438,148.80 and 242,891.70

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Solution

The fourth proportional to 292,099.20, 438,148.80 and 242,891.70 is: 364,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,099.20 : 438,148.80 = 242,891.70 : x
  2. Step 2: Convert to fraction form
    292,099.20/438,148.80 = 242,891.70/x
  3. Step 3: Cross multiply
    292,099.20x = 438,148.80 × 242,891.70
  4. Step 4: Simplify right side
    292,099.20x = 106,422,706,884.96
  5. Step 5: Solve for x
    x = 106,422,706,884.96/292,099.20
  6. Step 6: Final answer
    x = 364,337.55

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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.