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Finding the Fourth Proportional to 284,532.47, 392,837.86 and 182,601.87

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Solution

The fourth proportional to 284,532.47, 392,837.86 and 182,601.87 is: 252,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,532.47 : 392,837.86 = 182,601.87 : x
  2. Step 2: Convert to fraction form
    284,532.47/392,837.86 = 182,601.87/x
  3. Step 3: Cross multiply
    284,532.47x = 392,837.86 × 182,601.87
  4. Step 4: Simplify right side
    284,532.47x = 71,732,927,959.55
  5. Step 5: Solve for x
    x = 71,732,927,959.55/284,532.47
  6. Step 6: Final answer
    x = 252,108.05

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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.