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Finding the Fourth Proportional to 382,341.80, 573,950.10 and 224,659.10

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Solution

The fourth proportional to 382,341.80, 573,950.10 and 224,659.10 is: 337,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,341.80 : 573,950.10 = 224,659.10 : x
  2. Step 2: Convert to fraction form
    382,341.80/573,950.10 = 224,659.10/x
  3. Step 3: Cross multiply
    382,341.80x = 573,950.10 × 224,659.10
  4. Step 4: Simplify right side
    382,341.80x = 128,943,112,910.91
  5. Step 5: Solve for x
    x = 128,943,112,910.91/382,341.80
  6. Step 6: Final answer
    x = 337,245.66

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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.