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Finding the Fourth Proportional to 547,894.90, 822,136.65 and 267,412.15

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Solution

The fourth proportional to 547,894.90, 822,136.65 and 267,412.15 is: 401,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,894.90 : 822,136.65 = 267,412.15 : x
  2. Step 2: Convert to fraction form
    547,894.90/822,136.65 = 267,412.15/x
  3. Step 3: Cross multiply
    547,894.90x = 822,136.65 × 267,412.15
  4. Step 4: Simplify right side
    547,894.90x = 219,849,329,170.30
  5. Step 5: Solve for x
    x = 219,849,329,170.30/547,894.90
  6. Step 6: Final answer
    x = 401,261.86

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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.