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Finding the Fourth Proportional to 402,023.60, 603,035.40 and 213,066.80

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Solution

The fourth proportional to 402,023.60, 603,035.40 and 213,066.80 is: 319,600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,023.60 : 603,035.40 = 213,066.80 : x
  2. Step 2: Convert to fraction form
    402,023.60/603,035.40 = 213,066.80/x
  3. Step 3: Cross multiply
    402,023.60x = 603,035.40 × 213,066.80
  4. Step 4: Simplify right side
    402,023.60x = 128,486,822,964.72
  5. Step 5: Solve for x
    x = 128,486,822,964.72/402,023.60
  6. Step 6: Final answer
    x = 319,600.20

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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.