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Finding the Fourth Proportional to 561,020.94, 841,538.85 and 187,044.06

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Solution

The fourth proportional to 561,020.94, 841,538.85 and 187,044.06 is: 280,568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,020.94 : 841,538.85 = 187,044.06 : x
  2. Step 2: Convert to fraction form
    561,020.94/841,538.85 = 187,044.06/x
  3. Step 3: Cross multiply
    561,020.94x = 841,538.85 × 187,044.06
  4. Step 4: Simplify right side
    561,020.94x = 157,404,843,151.73
  5. Step 5: Solve for x
    x = 157,404,843,151.73/561,020.94
  6. Step 6: Final answer
    x = 280,568.57

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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.