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Finding the Fourth Proportional to 543,315.60, 814,649.40 and 333,104.40

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Solution

The fourth proportional to 543,315.60, 814,649.40 and 333,104.40 is: 499,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,315.60 : 814,649.40 = 333,104.40 : x
  2. Step 2: Convert to fraction form
    543,315.60/814,649.40 = 333,104.40/x
  3. Step 3: Cross multiply
    543,315.60x = 814,649.40 × 333,104.40
  4. Step 4: Simplify right side
    543,315.60x = 271,363,299,597.36
  5. Step 5: Solve for x
    x = 271,363,299,597.36/543,315.60
  6. Step 6: Final answer
    x = 499,457.96

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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.