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Finding the Fourth Proportional to 550,251.50, 759,024.54 and 345,978.68

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Solution

The fourth proportional to 550,251.50, 759,024.54 and 345,978.68 is: 477,247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,251.50 : 759,024.54 = 345,978.68 : x
  2. Step 2: Convert to fraction form
    550,251.50/759,024.54 = 345,978.68/x
  3. Step 3: Cross multiply
    550,251.50x = 759,024.54 × 345,978.68
  4. Step 4: Simplify right side
    550,251.50x = 262,606,304,641.69
  5. Step 5: Solve for x
    x = 262,606,304,641.69/550,251.50
  6. Step 6: Final answer
    x = 477,247.78

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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.