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Finding the Fourth Proportional to 256,415.60, 384,623.40 and 185,556.80

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Solution

The fourth proportional to 256,415.60, 384,623.40 and 185,556.80 is: 278,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,415.60 : 384,623.40 = 185,556.80 : x
  2. Step 2: Convert to fraction form
    256,415.60/384,623.40 = 185,556.80/x
  3. Step 3: Cross multiply
    256,415.60x = 384,623.40 × 185,556.80
  4. Step 4: Simplify right side
    256,415.60x = 71,369,487,309.12
  5. Step 5: Solve for x
    x = 71,369,487,309.12/256,415.60
  6. Step 6: Final answer
    x = 278,335.20

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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.