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Finding the Fourth Proportional to 274,657.30, 412,293.15 and 256,609.30

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Solution

The fourth proportional to 274,657.30, 412,293.15 and 256,609.30 is: 385,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,657.30 : 412,293.15 = 256,609.30 : x
  2. Step 2: Convert to fraction form
    274,657.30/412,293.15 = 256,609.30/x
  3. Step 3: Cross multiply
    274,657.30x = 412,293.15 × 256,609.30
  4. Step 4: Simplify right side
    274,657.30x = 105,798,256,616.30
  5. Step 5: Solve for x
    x = 105,798,256,616.30/274,657.30
  6. Step 6: Final answer
    x = 385,200.96

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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.