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Finding the Fourth Proportional to 540,839.20, 811,335.60 and 166,823.20

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Solution

The fourth proportional to 540,839.20, 811,335.60 and 166,823.20 is: 250,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,839.20 : 811,335.60 = 166,823.20 : x
  2. Step 2: Convert to fraction form
    540,839.20/811,335.60 = 166,823.20/x
  3. Step 3: Cross multiply
    540,839.20x = 811,335.60 × 166,823.20
  4. Step 4: Simplify right side
    540,839.20x = 135,349,601,065.92
  5. Step 5: Solve for x
    x = 135,349,601,065.92/540,839.20
  6. Step 6: Final answer
    x = 250,258.49

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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.