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Finding the Fourth Proportional to 342,758.97, 473,012.24 and 197,484.48

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Solution

The fourth proportional to 342,758.97, 473,012.24 and 197,484.48 is: 272,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,758.97 : 473,012.24 = 197,484.48 : x
  2. Step 2: Convert to fraction form
    342,758.97/473,012.24 = 197,484.48/x
  3. Step 3: Cross multiply
    342,758.97x = 473,012.24 × 197,484.48
  4. Step 4: Simplify right side
    342,758.97x = 93,412,575,262.61
  5. Step 5: Solve for x
    x = 93,412,575,262.61/342,758.97
  6. Step 6: Final answer
    x = 272,531.38

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Why These Related Problems?

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