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Finding the Fourth Proportional to 461,432.88, 692,145.03 and 145,889.82

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Solution

The fourth proportional to 461,432.88, 692,145.03 and 145,889.82 is: 218,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,432.88 : 692,145.03 = 145,889.82 : x
  2. Step 2: Convert to fraction form
    461,432.88/692,145.03 = 145,889.82/x
  3. Step 3: Cross multiply
    461,432.88x = 692,145.03 × 145,889.82
  4. Step 4: Simplify right side
    461,432.88x = 100,976,913,840.60
  5. Step 5: Solve for x
    x = 100,976,913,840.60/461,432.88
  6. Step 6: Final answer
    x = 218,833.37

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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.