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Finding the Fourth Proportional to 275,798.61, 413,780.99 and 98,282.55

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Solution

The fourth proportional to 275,798.61, 413,780.99 and 98,282.55 is: 147,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,798.61 : 413,780.99 = 98,282.55 : x
  2. Step 2: Convert to fraction form
    275,798.61/413,780.99 = 98,282.55/x
  3. Step 3: Cross multiply
    275,798.61x = 413,780.99 × 98,282.55
  4. Step 4: Simplify right side
    275,798.61x = 40,667,450,347.31
  5. Step 5: Solve for x
    x = 40,667,450,347.31/275,798.61
  6. Step 6: Final answer
    x = 147,453.43

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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.