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Finding the Fourth Proportional to 543,833.30, 814,765.80 and 465,101.30

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Solution

The fourth proportional to 543,833.30, 814,765.80 and 465,101.30 is: 696,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,833.30 : 814,765.80 = 465,101.30 : x
  2. Step 2: Convert to fraction form
    543,833.30/814,765.80 = 465,101.30/x
  3. Step 3: Cross multiply
    543,833.30x = 814,765.80 × 465,101.30
  4. Step 4: Simplify right side
    543,833.30x = 378,948,632,775.54
  5. Step 5: Solve for x
    x = 378,948,632,775.54/543,833.30
  6. Step 6: Final answer
    x = 696,810.28

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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.