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Finding the Fourth Proportional to 272,937.60, 409,406.40 and 178,459.20

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Solution

The fourth proportional to 272,937.60, 409,406.40 and 178,459.20 is: 267,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,937.60 : 409,406.40 = 178,459.20 : x
  2. Step 2: Convert to fraction form
    272,937.60/409,406.40 = 178,459.20/x
  3. Step 3: Cross multiply
    272,937.60x = 409,406.40 × 178,459.20
  4. Step 4: Simplify right side
    272,937.60x = 73,062,338,618.88
  5. Step 5: Solve for x
    x = 73,062,338,618.88/272,937.60
  6. Step 6: Final answer
    x = 267,688.80

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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.