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Finding the Fourth Proportional to 292,023.10, 438,034.65 and 262,531.90

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Solution

The fourth proportional to 292,023.10, 438,034.65 and 262,531.90 is: 393,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,023.10 : 438,034.65 = 262,531.90 : x
  2. Step 2: Convert to fraction form
    292,023.10/438,034.65 = 262,531.90/x
  3. Step 3: Cross multiply
    292,023.10x = 438,034.65 × 262,531.90
  4. Step 4: Simplify right side
    292,023.10x = 114,998,068,930.34
  5. Step 5: Solve for x
    x = 114,998,068,930.34/292,023.10
  6. Step 6: Final answer
    x = 393,797.85

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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.