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Finding the Fourth Proportional to 296,894.13, 409,713.90 and 162,758.13

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Solution

The fourth proportional to 296,894.13, 409,713.90 and 162,758.13 is: 224,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,894.13 : 409,713.90 = 162,758.13 : x
  2. Step 2: Convert to fraction form
    296,894.13/409,713.90 = 162,758.13/x
  3. Step 3: Cross multiply
    296,894.13x = 409,713.90 × 162,758.13
  4. Step 4: Simplify right side
    296,894.13x = 66,684,265,336.65
  5. Step 5: Solve for x
    x = 66,684,265,336.65/296,894.13
  6. Step 6: Final answer
    x = 224,606.21

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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.