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Finding the Fourth Proportional to 347,722.80, 521,195.40 and 198,034.80

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Solution

The fourth proportional to 347,722.80, 521,195.40 and 198,034.80 is: 296,830.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,722.80 : 521,195.40 = 198,034.80 : x
  2. Step 2: Convert to fraction form
    347,722.80/521,195.40 = 198,034.80/x
  3. Step 3: Cross multiply
    347,722.80x = 521,195.40 × 198,034.80
  4. Step 4: Simplify right side
    347,722.80x = 103,214,826,799.92
  5. Step 5: Solve for x
    x = 103,214,826,799.92/347,722.80
  6. Step 6: Final answer
    x = 296,830.77

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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.