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Finding the Fourth Proportional to 284,780.27, 426,959.50 and 172,434.08

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Solution

The fourth proportional to 284,780.27, 426,959.50 and 172,434.08 is: 258,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,780.27 : 426,959.50 = 172,434.08 : x
  2. Step 2: Convert to fraction form
    284,780.27/426,959.50 = 172,434.08/x
  3. Step 3: Cross multiply
    284,780.27x = 426,959.50 × 172,434.08
  4. Step 4: Simplify right side
    284,780.27x = 73,622,368,579.76
  5. Step 5: Solve for x
    x = 73,622,368,579.76/284,780.27
  6. Step 6: Final answer
    x = 258,523.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.