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Finding the Fourth Proportional to 385,732.60, 577,821.30 and 267,537.40

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Solution

The fourth proportional to 385,732.60, 577,821.30 and 267,537.40 is: 400,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,732.60 : 577,821.30 = 267,537.40 : x
  2. Step 2: Convert to fraction form
    385,732.60/577,821.30 = 267,537.40/x
  3. Step 3: Cross multiply
    385,732.60x = 577,821.30 × 267,537.40
  4. Step 4: Simplify right side
    385,732.60x = 154,588,808,266.62
  5. Step 5: Solve for x
    x = 154,588,808,266.62/385,732.60
  6. Step 6: Final answer
    x = 400,766.77

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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.