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Finding the Fourth Proportional to 256,416.60, 384,624.90 and 185,557.80

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Solution

The fourth proportional to 256,416.60, 384,624.90 and 185,557.80 is: 278,336.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,416.60 : 384,624.90 = 185,557.80 : x
  2. Step 2: Convert to fraction form
    256,416.60/384,624.90 = 185,557.80/x
  3. Step 3: Cross multiply
    256,416.60x = 384,624.90 × 185,557.80
  4. Step 4: Simplify right side
    256,416.60x = 71,370,150,269.22
  5. Step 5: Solve for x
    x = 71,370,150,269.22/256,416.60
  6. Step 6: Final answer
    x = 278,336.70

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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.