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Finding the Fourth Proportional to 402,829.60, 604,244.40 and 270,119.20

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Solution

The fourth proportional to 402,829.60, 604,244.40 and 270,119.20 is: 405,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,829.60 : 604,244.40 = 270,119.20 : x
  2. Step 2: Convert to fraction form
    402,829.60/604,244.40 = 270,119.20/x
  3. Step 3: Cross multiply
    402,829.60x = 604,244.40 × 270,119.20
  4. Step 4: Simplify right side
    402,829.60x = 163,218,013,932.48
  5. Step 5: Solve for x
    x = 163,218,013,932.48/402,829.60
  6. Step 6: Final answer
    x = 405,178.80

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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.