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Finding the Fourth Proportional to 284,704.44, 392,862.06 and 157,359.48

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Solution

The fourth proportional to 284,704.44, 392,862.06 and 157,359.48 is: 217,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,704.44 : 392,862.06 = 157,359.48 : x
  2. Step 2: Convert to fraction form
    284,704.44/392,862.06 = 157,359.48/x
  3. Step 3: Cross multiply
    284,704.44x = 392,862.06 × 157,359.48
  4. Step 4: Simplify right side
    284,704.44x = 61,820,569,473.33
  5. Step 5: Solve for x
    x = 61,820,569,473.33/284,704.44
  6. Step 6: Final answer
    x = 217,139.46

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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.