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Finding the Fourth Proportional to 256,442.10, 384,663.15 and 185,583.30

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Solution

The fourth proportional to 256,442.10, 384,663.15 and 185,583.30 is: 278,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,442.10 : 384,663.15 = 185,583.30 : x
  2. Step 2: Convert to fraction form
    256,442.10/384,663.15 = 185,583.30/x
  3. Step 3: Cross multiply
    256,442.10x = 384,663.15 × 185,583.30
  4. Step 4: Simplify right side
    256,442.10x = 71,387,056,765.40
  5. Step 5: Solve for x
    x = 71,387,056,765.40/256,442.10
  6. Step 6: Final answer
    x = 278,374.95

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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.