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Finding the Fourth Proportional to 347,953.80, 522,002.70 and 198,265.80

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Solution

The fourth proportional to 347,953.80, 522,002.70 and 198,265.80 is: 297,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,953.80 : 522,002.70 = 198,265.80 : x
  2. Step 2: Convert to fraction form
    347,953.80/522,002.70 = 198,265.80/x
  3. Step 3: Cross multiply
    347,953.80x = 522,002.70 × 198,265.80
  4. Step 4: Simplify right side
    347,953.80x = 103,495,282,917.66
  5. Step 5: Solve for x
    x = 103,495,282,917.66/347,953.80
  6. Step 6: Final answer
    x = 297,439.73

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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.