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Finding the Fourth Proportional to 284,067.95, 392,155.70 and 176,672.61

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Solution

The fourth proportional to 284,067.95, 392,155.70 and 176,672.61 is: 243,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,067.95 : 392,155.70 = 176,672.61 : x
  2. Step 2: Convert to fraction form
    284,067.95/392,155.70 = 176,672.61/x
  3. Step 3: Cross multiply
    284,067.95x = 392,155.70 × 176,672.61
  4. Step 4: Simplify right side
    284,067.95x = 69,283,170,162.01
  5. Step 5: Solve for x
    x = 69,283,170,162.01/284,067.95
  6. Step 6: Final answer
    x = 243,896.47

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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.