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Finding the Fourth Proportional to 268,592.40, 402,451.20 and 197,733.60

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Solution

The fourth proportional to 268,592.40, 402,451.20 and 197,733.60 is: 296,278.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,592.40 : 402,451.20 = 197,733.60 : x
  2. Step 2: Convert to fraction form
    268,592.40/402,451.20 = 197,733.60/x
  3. Step 3: Cross multiply
    268,592.40x = 402,451.20 × 197,733.60
  4. Step 4: Simplify right side
    268,592.40x = 79,578,124,600.32
  5. Step 5: Solve for x
    x = 79,578,124,600.32/268,592.40
  6. Step 6: Final answer
    x = 296,278.39

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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.