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Finding the Fourth Proportional to 402,101.60, 603,613.20 and 235,983.20

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Solution

The fourth proportional to 402,101.60, 603,613.20 and 235,983.20 is: 354,245.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,101.60 : 603,613.20 = 235,983.20 : x
  2. Step 2: Convert to fraction form
    402,101.60/603,613.20 = 235,983.20/x
  3. Step 3: Cross multiply
    402,101.60x = 603,613.20 × 235,983.20
  4. Step 4: Simplify right side
    402,101.60x = 142,442,574,498.24
  5. Step 5: Solve for x
    x = 142,442,574,498.24/402,101.60
  6. Step 6: Final answer
    x = 354,245.23

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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.