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Finding the Fourth Proportional to 381,901.48, 572,696.16 and 165,774.04

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Solution

The fourth proportional to 381,901.48, 572,696.16 and 165,774.04 is: 248,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,901.48 : 572,696.16 = 165,774.04 : x
  2. Step 2: Convert to fraction form
    381,901.48/572,696.16 = 165,774.04/x
  3. Step 3: Cross multiply
    381,901.48x = 572,696.16 × 165,774.04
  4. Step 4: Simplify right side
    381,901.48x = 94,938,156,135.69
  5. Step 5: Solve for x
    x = 94,938,156,135.69/381,901.48
  6. Step 6: Final answer
    x = 248,593.32

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Why These Related Problems?

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