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Finding the Fourth Proportional to 461,842.80, 692,764.20 and 410,233.20

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Solution

The fourth proportional to 461,842.80, 692,764.20 and 410,233.20 is: 615,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,842.80 : 692,764.20 = 410,233.20 : x
  2. Step 2: Convert to fraction form
    461,842.80/692,764.20 = 410,233.20/x
  3. Step 3: Cross multiply
    461,842.80x = 692,764.20 × 410,233.20
  4. Step 4: Simplify right side
    461,842.80x = 284,194,874,611.44
  5. Step 5: Solve for x
    x = 284,194,874,611.44/461,842.80
  6. Step 6: Final answer
    x = 615,349.80

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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.