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Finding the Fourth Proportional to 381,896.30, 572,003.19 and 254,941.85

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Solution

The fourth proportional to 381,896.30, 572,003.19 and 254,941.85 is: 381,851.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.30 : 572,003.19 = 254,941.85 : x
  2. Step 2: Convert to fraction form
    381,896.30/572,003.19 = 254,941.85/x
  3. Step 3: Cross multiply
    381,896.30x = 572,003.19 × 254,941.85
  4. Step 4: Simplify right side
    381,896.30x = 145,827,552,894.51
  5. Step 5: Solve for x
    x = 145,827,552,894.51/381,896.30
  6. Step 6: Final answer
    x = 381,851.18

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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.