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Finding the Fourth Proportional to 342,438.14, 473,016.17 and 262,849.16

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Solution

The fourth proportional to 342,438.14, 473,016.17 and 262,849.16 is: 363,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,438.14 : 473,016.17 = 262,849.16 : x
  2. Step 2: Convert to fraction form
    342,438.14/473,016.17 = 262,849.16/x
  3. Step 3: Cross multiply
    342,438.14x = 473,016.17 × 262,849.16
  4. Step 4: Simplify right side
    342,438.14x = 124,331,902,950.92
  5. Step 5: Solve for x
    x = 124,331,902,950.92/342,438.14
  6. Step 6: Final answer
    x = 363,078.43

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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.