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Finding the Fourth Proportional to 256,003.60, 384,005.40 and 185,501.20

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Solution

The fourth proportional to 256,003.60, 384,005.40 and 185,501.20 is: 278,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,003.60 : 384,005.40 = 185,501.20 : x
  2. Step 2: Convert to fraction form
    256,003.60/384,005.40 = 185,501.20/x
  3. Step 3: Cross multiply
    256,003.60x = 384,005.40 × 185,501.20
  4. Step 4: Simplify right side
    256,003.60x = 71,233,462,506.48
  5. Step 5: Solve for x
    x = 71,233,462,506.48/256,003.60
  6. Step 6: Final answer
    x = 278,251.80

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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.