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Finding the Fourth Proportional to 272,987.60, 409,481.40 and 178,509.20

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Solution

The fourth proportional to 272,987.60, 409,481.40 and 178,509.20 is: 267,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,987.60 : 409,481.40 = 178,509.20 : x
  2. Step 2: Convert to fraction form
    272,987.60/409,481.40 = 178,509.20/x
  3. Step 3: Cross multiply
    272,987.60x = 409,481.40 × 178,509.20
  4. Step 4: Simplify right side
    272,987.60x = 73,096,197,128.88
  5. Step 5: Solve for x
    x = 73,096,197,128.88/272,987.60
  6. Step 6: Final answer
    x = 267,763.80

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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.