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Finding the Fourth Proportional to 357,645.31, 493,987.16 and 267,401.49

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Solution

The fourth proportional to 357,645.31, 493,987.16 and 267,401.49 is: 369,340.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,645.31 : 493,987.16 = 267,401.49 : x
  2. Step 2: Convert to fraction form
    357,645.31/493,987.16 = 267,401.49/x
  3. Step 3: Cross multiply
    357,645.31x = 493,987.16 × 267,401.49
  4. Step 4: Simplify right side
    357,645.31x = 132,092,899,936.79
  5. Step 5: Solve for x
    x = 132,092,899,936.79/357,645.31
  6. Step 6: Final answer
    x = 369,340.51

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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.