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Finding the Fourth Proportional to 296,780.40, 409,698.81 and 169,431.39

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Solution

The fourth proportional to 296,780.40, 409,698.81 and 169,431.39 is: 233,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,780.40 : 409,698.81 = 169,431.39 : x
  2. Step 2: Convert to fraction form
    296,780.40/409,698.81 = 169,431.39/x
  3. Step 3: Cross multiply
    296,780.40x = 409,698.81 × 169,431.39
  4. Step 4: Simplify right side
    296,780.40x = 69,415,838,859.65
  5. Step 5: Solve for x
    x = 69,415,838,859.65/296,780.40
  6. Step 6: Final answer
    x = 233,896.30

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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.