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Finding the Fourth Proportional to 543,810.60, 814,103.10 and 404,188.20

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Solution

The fourth proportional to 543,810.60, 814,103.10 and 404,188.20 is: 605,083.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,810.60 : 814,103.10 = 404,188.20 : x
  2. Step 2: Convert to fraction form
    543,810.60/814,103.10 = 404,188.20/x
  3. Step 3: Cross multiply
    543,810.60x = 814,103.10 × 404,188.20
  4. Step 4: Simplify right side
    543,810.60x = 329,050,866,603.42
  5. Step 5: Solve for x
    x = 329,050,866,603.42/543,810.60
  6. Step 6: Final answer
    x = 605,083.58

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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.