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Finding the Fourth Proportional to 296,342.95, 408,949.14 and 169,020.67

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Solution

The fourth proportional to 296,342.95, 408,949.14 and 169,020.67 is: 233,246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,342.95 : 408,949.14 = 169,020.67 : x
  2. Step 2: Convert to fraction form
    296,342.95/408,949.14 = 169,020.67/x
  3. Step 3: Cross multiply
    296,342.95x = 408,949.14 × 169,020.67
  4. Step 4: Simplify right side
    296,342.95x = 69,120,857,638.72
  5. Step 5: Solve for x
    x = 69,120,857,638.72/296,342.95
  6. Step 6: Final answer
    x = 233,246.17

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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.