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Finding the Fourth Proportional to 461,432.68, 692,144.94 and 145,889.80

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Solution

The fourth proportional to 461,432.68, 692,144.94 and 145,889.80 is: 218,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,432.68 : 692,144.94 = 145,889.80 : x
  2. Step 2: Convert to fraction form
    461,432.68/692,144.94 = 145,889.80/x
  3. Step 3: Cross multiply
    461,432.68x = 692,144.94 × 145,889.80
  4. Step 4: Simplify right side
    461,432.68x = 100,976,886,867.61
  5. Step 5: Solve for x
    x = 100,976,886,867.61/461,432.68
  6. Step 6: Final answer
    x = 218,833.41

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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.