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Finding the Fourth Proportional to 421,614.20, 632,202.60 and 155,237.60

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Solution

The fourth proportional to 421,614.20, 632,202.60 and 155,237.60 is: 232,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,614.20 : 632,202.60 = 155,237.60 : x
  2. Step 2: Convert to fraction form
    421,614.20/632,202.60 = 155,237.60/x
  3. Step 3: Cross multiply
    421,614.20x = 632,202.60 × 155,237.60
  4. Step 4: Simplify right side
    421,614.20x = 98,141,614,337.76
  5. Step 5: Solve for x
    x = 98,141,614,337.76/421,614.20
  6. Step 6: Final answer
    x = 232,775.88

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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.