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Finding the Fourth Proportional to 324,052.10, 486,078.15 and 310,055.30

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Solution

The fourth proportional to 324,052.10, 486,078.15 and 310,055.30 is: 465,082.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,052.10 : 486,078.15 = 310,055.30 : x
  2. Step 2: Convert to fraction form
    324,052.10/486,078.15 = 310,055.30/x
  3. Step 3: Cross multiply
    324,052.10x = 486,078.15 × 310,055.30
  4. Step 4: Simplify right side
    324,052.10x = 150,711,106,621.70
  5. Step 5: Solve for x
    x = 150,711,106,621.70/324,052.10
  6. Step 6: Final answer
    x = 465,082.95

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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.