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Finding the Fourth Proportional to 540,847.33, 746,340.02 and 299,115.79

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Solution

The fourth proportional to 540,847.33, 746,340.02 and 299,115.79 is: 412,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,847.33 : 746,340.02 = 299,115.79 : x
  2. Step 2: Convert to fraction form
    540,847.33/746,340.02 = 299,115.79/x
  3. Step 3: Cross multiply
    540,847.33x = 746,340.02 × 299,115.79
  4. Step 4: Simplify right side
    540,847.33x = 223,242,083,195.34
  5. Step 5: Solve for x
    x = 223,242,083,195.34/540,847.33
  6. Step 6: Final answer
    x = 412,763.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.