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Finding the Fourth Proportional to 543,321.10, 814,657.65 and 333,109.90

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Solution

The fourth proportional to 543,321.10, 814,657.65 and 333,109.90 is: 499,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,321.10 : 814,657.65 = 333,109.90 : x
  2. Step 2: Convert to fraction form
    543,321.10/814,657.65 = 333,109.90/x
  3. Step 3: Cross multiply
    543,321.10x = 814,657.65 × 333,109.90
  4. Step 4: Simplify right side
    543,321.10x = 271,370,528,325.74
  5. Step 5: Solve for x
    x = 271,370,528,325.74/543,321.10
  6. Step 6: Final answer
    x = 499,466.21

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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.