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Finding the Fourth Proportional to 256,423.60, 384,635.40 and 185,564.80

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Solution

The fourth proportional to 256,423.60, 384,635.40 and 185,564.80 is: 278,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,423.60 : 384,635.40 = 185,564.80 : x
  2. Step 2: Convert to fraction form
    256,423.60/384,635.40 = 185,564.80/x
  3. Step 3: Cross multiply
    256,423.60x = 384,635.40 × 185,564.80
  4. Step 4: Simplify right side
    256,423.60x = 71,374,791,073.92
  5. Step 5: Solve for x
    x = 71,374,791,073.92/256,423.60
  6. Step 6: Final answer
    x = 278,347.20

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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.