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Finding the Fourth Proportional to 421,500.20, 632,031.60 and 155,123.60

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Solution

The fourth proportional to 421,500.20, 632,031.60 and 155,123.60 is: 232,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,500.20 : 632,031.60 = 155,123.60 : x
  2. Step 2: Convert to fraction form
    421,500.20/632,031.60 = 155,123.60/x
  3. Step 3: Cross multiply
    421,500.20x = 632,031.60 × 155,123.60
  4. Step 4: Simplify right side
    421,500.20x = 98,043,017,105.76
  5. Step 5: Solve for x
    x = 98,043,017,105.76/421,500.20
  6. Step 6: Final answer
    x = 232,604.91

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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.