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Finding the Fourth Proportional to 299,593.74, 413,442.12 and 170,525.88

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Solution

The fourth proportional to 299,593.74, 413,442.12 and 170,525.88 is: 235,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,593.74 : 413,442.12 = 170,525.88 : x
  2. Step 2: Convert to fraction form
    299,593.74/413,442.12 = 170,525.88/x
  3. Step 3: Cross multiply
    299,593.74x = 413,442.12 × 170,525.88
  4. Step 4: Simplify right side
    299,593.74x = 70,502,581,342.07
  5. Step 5: Solve for x
    x = 70,502,581,342.07/299,593.74
  6. Step 6: Final answer
    x = 235,327.28

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