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Finding the Fourth Proportional to 284,509.38, 392,589.36 and 157,177.38

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Solution

The fourth proportional to 284,509.38, 392,589.36 and 157,177.38 is: 216,886.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,509.38 : 392,589.36 = 157,177.38 : x
  2. Step 2: Convert to fraction form
    284,509.38/392,589.36 = 157,177.38/x
  3. Step 3: Cross multiply
    284,509.38x = 392,589.36 × 157,177.38
  4. Step 4: Simplify right side
    284,509.38x = 61,706,167,020.68
  5. Step 5: Solve for x
    x = 61,706,167,020.68/284,509.38
  6. Step 6: Final answer
    x = 216,886.23

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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.