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Finding the Fourth Proportional to 256,065.40, 384,098.10 and 235,847.80

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Solution

The fourth proportional to 256,065.40, 384,098.10 and 235,847.80 is: 353,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,065.40 : 384,098.10 = 235,847.80 : x
  2. Step 2: Convert to fraction form
    256,065.40/384,098.10 = 235,847.80/x
  3. Step 3: Cross multiply
    256,065.40x = 384,098.10 × 235,847.80
  4. Step 4: Simplify right side
    256,065.40x = 90,588,691,869.18
  5. Step 5: Solve for x
    x = 90,588,691,869.18/256,065.40
  6. Step 6: Final answer
    x = 353,771.70

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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.