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Finding the Fourth Proportional to 561,174.57, 841,761.86 and 206,034.93

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Solution

The fourth proportional to 561,174.57, 841,761.86 and 206,034.93 is: 309,052.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,174.57 : 841,761.86 = 206,034.93 : x
  2. Step 2: Convert to fraction form
    561,174.57/841,761.86 = 206,034.93/x
  3. Step 3: Cross multiply
    561,174.57x = 841,761.86 × 206,034.93
  4. Step 4: Simplify right side
    561,174.57x = 173,432,344,871.60
  5. Step 5: Solve for x
    x = 173,432,344,871.60/561,174.57
  6. Step 6: Final answer
    x = 309,052.40

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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.