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Finding the Fourth Proportional to 466,435.20, 699,652.80 and 150,902.40

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Solution

The fourth proportional to 466,435.20, 699,652.80 and 150,902.40 is: 226,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,435.20 : 699,652.80 = 150,902.40 : x
  2. Step 2: Convert to fraction form
    466,435.20/699,652.80 = 150,902.40/x
  3. Step 3: Cross multiply
    466,435.20x = 699,652.80 × 150,902.40
  4. Step 4: Simplify right side
    466,435.20x = 105,579,286,686.72
  5. Step 5: Solve for x
    x = 105,579,286,686.72/466,435.20
  6. Step 6: Final answer
    x = 226,353.60

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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.