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Finding the Fourth Proportional to 299,765.48, 413,759.78 and 172,482.08

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Solution

The fourth proportional to 299,765.48, 413,759.78 and 172,482.08 is: 238,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,765.48 : 413,759.78 = 172,482.08 : x
  2. Step 2: Convert to fraction form
    299,765.48/413,759.78 = 172,482.08/x
  3. Step 3: Cross multiply
    299,765.48x = 413,759.78 × 172,482.08
  4. Step 4: Simplify right side
    299,765.48x = 71,366,147,474.74
  5. Step 5: Solve for x
    x = 71,366,147,474.74/299,765.48
  6. Step 6: Final answer
    x = 238,073.27

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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.