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Finding the Fourth Proportional to 402,419.10, 603,628.65 and 396,514.20

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Solution

The fourth proportional to 402,419.10, 603,628.65 and 396,514.20 is: 594,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,419.10 : 603,628.65 = 396,514.20 : x
  2. Step 2: Convert to fraction form
    402,419.10/603,628.65 = 396,514.20/x
  3. Step 3: Cross multiply
    402,419.10x = 603,628.65 × 396,514.20
  4. Step 4: Simplify right side
    402,419.10x = 239,347,331,251.83
  5. Step 5: Solve for x
    x = 239,347,331,251.83/402,419.10
  6. Step 6: Final answer
    x = 594,771.30

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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.