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Finding the Fourth Proportional to 256,418.10, 384,627.15 and 185,559.30

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Solution

The fourth proportional to 256,418.10, 384,627.15 and 185,559.30 is: 278,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,418.10 : 384,627.15 = 185,559.30 : x
  2. Step 2: Convert to fraction form
    256,418.10/384,627.15 = 185,559.30/x
  3. Step 3: Cross multiply
    256,418.10x = 384,627.15 × 185,559.30
  4. Step 4: Simplify right side
    256,418.10x = 71,371,144,715.00
  5. Step 5: Solve for x
    x = 71,371,144,715.00/256,418.10
  6. Step 6: Final answer
    x = 278,338.95

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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.