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Finding the Fourth Proportional to 385,257.60, 577,886.40 and 267,062.40

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Solution

The fourth proportional to 385,257.60, 577,886.40 and 267,062.40 is: 400,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,257.60 : 577,886.40 = 267,062.40 : x
  2. Step 2: Convert to fraction form
    385,257.60/577,886.40 = 267,062.40/x
  3. Step 3: Cross multiply
    385,257.60x = 577,886.40 × 267,062.40
  4. Step 4: Simplify right side
    385,257.60x = 154,331,728,911.36
  5. Step 5: Solve for x
    x = 154,331,728,911.36/385,257.60
  6. Step 6: Final answer
    x = 400,593.60

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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.