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Finding the Fourth Proportional to 256,412.10, 384,618.15 and 185,553.30

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Solution

The fourth proportional to 256,412.10, 384,618.15 and 185,553.30 is: 278,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,412.10 : 384,618.15 = 185,553.30 : x
  2. Step 2: Convert to fraction form
    256,412.10/384,618.15 = 185,553.30/x
  3. Step 3: Cross multiply
    256,412.10x = 384,618.15 × 185,553.30
  4. Step 4: Simplify right side
    256,412.10x = 71,367,166,972.40
  5. Step 5: Solve for x
    x = 71,367,166,972.40/256,412.10
  6. Step 6: Final answer
    x = 278,329.95

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1.5x scale

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.