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Finding the Fourth Proportional to 461,424.64, 692,132.60 and 145,881.52

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Solution

The fourth proportional to 461,424.64, 692,132.60 and 145,881.52 is: 218,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,424.64 : 692,132.60 = 145,881.52 : x
  2. Step 2: Convert to fraction form
    461,424.64/692,132.60 = 145,881.52/x
  3. Step 3: Cross multiply
    461,424.64x = 692,132.60 × 145,881.52
  4. Step 4: Simplify right side
    461,424.64x = 100,969,355,729.55
  5. Step 5: Solve for x
    x = 100,969,355,729.55/461,424.64
  6. Step 6: Final answer
    x = 218,820.90

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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.