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Finding the Fourth Proportional to 431,333.10, 646,999.65 and 274,257.90

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Solution

The fourth proportional to 431,333.10, 646,999.65 and 274,257.90 is: 411,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,333.10 : 646,999.65 = 274,257.90 : x
  2. Step 2: Convert to fraction form
    431,333.10/646,999.65 = 274,257.90/x
  3. Step 3: Cross multiply
    431,333.10x = 646,999.65 × 274,257.90
  4. Step 4: Simplify right side
    431,333.10x = 177,444,765,309.74
  5. Step 5: Solve for x
    x = 177,444,765,309.74/431,333.10
  6. Step 6: Final answer
    x = 411,386.85

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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.