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Finding the Fourth Proportional to 408,053.60, 612,080.40 and 282,082.40

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Solution

The fourth proportional to 408,053.60, 612,080.40 and 282,082.40 is: 423,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,053.60 : 612,080.40 = 282,082.40 : x
  2. Step 2: Convert to fraction form
    408,053.60/612,080.40 = 282,082.40/x
  3. Step 3: Cross multiply
    408,053.60x = 612,080.40 × 282,082.40
  4. Step 4: Simplify right side
    408,053.60x = 172,657,108,224.96
  5. Step 5: Solve for x
    x = 172,657,108,224.96/408,053.60
  6. Step 6: Final answer
    x = 423,123.60

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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.