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Finding the Fourth Proportional to 342,218.14, 472,278.72 and 197,045.46

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Solution

The fourth proportional to 342,218.14, 472,278.72 and 197,045.46 is: 271,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,218.14 : 472,278.72 = 197,045.46 : x
  2. Step 2: Convert to fraction form
    342,218.14/472,278.72 = 197,045.46/x
  3. Step 3: Cross multiply
    342,218.14x = 472,278.72 × 197,045.46
  4. Step 4: Simplify right side
    342,218.14x = 93,060,377,630.61
  5. Step 5: Solve for x
    x = 93,060,377,630.61/342,218.14
  6. Step 6: Final answer
    x = 271,932.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.