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Finding the Fourth Proportional to 256,856.90, 385,285.35 and 185,998.10

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Solution

The fourth proportional to 256,856.90, 385,285.35 and 185,998.10 is: 278,997.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,856.90 : 385,285.35 = 185,998.10 : x
  2. Step 2: Convert to fraction form
    256,856.90/385,285.35 = 185,998.10/x
  3. Step 3: Cross multiply
    256,856.90x = 385,285.35 × 185,998.10
  4. Step 4: Simplify right side
    256,856.90x = 71,662,343,057.84
  5. Step 5: Solve for x
    x = 71,662,343,057.84/256,856.90
  6. Step 6: Final answer
    x = 278,997.15

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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.