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Finding the Fourth Proportional to 461,432.38, 692,144.28 and 145,889.32

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Solution

The fourth proportional to 461,432.38, 692,144.28 and 145,889.32 is: 218,832.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,432.38 : 692,144.28 = 145,889.32 : x
  2. Step 2: Convert to fraction form
    461,432.38/692,144.28 = 145,889.32/x
  3. Step 3: Cross multiply
    461,432.38x = 692,144.28 × 145,889.32
  4. Step 4: Simplify right side
    461,432.38x = 100,976,458,351.09
  5. Step 5: Solve for x
    x = 100,976,458,351.09/461,432.38
  6. Step 6: Final answer
    x = 218,832.62

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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.