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Finding the Fourth Proportional to 497,213.46, 745,801.50 and 296,200.83

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Solution

The fourth proportional to 497,213.46, 745,801.50 and 296,200.83 is: 444,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,213.46 : 745,801.50 = 296,200.83 : x
  2. Step 2: Convert to fraction form
    497,213.46/745,801.50 = 296,200.83/x
  3. Step 3: Cross multiply
    497,213.46x = 745,801.50 × 296,200.83
  4. Step 4: Simplify right side
    497,213.46x = 220,907,023,315.25
  5. Step 5: Solve for x
    x = 220,907,023,315.25/497,213.46
  6. Step 6: Final answer
    x = 444,290.11

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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.