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Finding the Fourth Proportional to 284,204.34, 392,147.46 and 171,034.38

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Solution

The fourth proportional to 284,204.34, 392,147.46 and 171,034.38 is: 235,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,204.34 : 392,147.46 = 171,034.38 : x
  2. Step 2: Convert to fraction form
    284,204.34/392,147.46 = 171,034.38/x
  3. Step 3: Cross multiply
    284,204.34x = 392,147.46 × 171,034.38
  4. Step 4: Simplify right side
    284,204.34x = 67,070,697,689.67
  5. Step 5: Solve for x
    x = 67,070,697,689.67/284,204.34
  6. Step 6: Final answer
    x = 235,994.63

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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.