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Finding the Fourth Proportional to 291,859.84, 402,749.22 and 169,342.76

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Solution

The fourth proportional to 291,859.84, 402,749.22 and 169,342.76 is: 233,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,859.84 : 402,749.22 = 169,342.76 : x
  2. Step 2: Convert to fraction form
    291,859.84/402,749.22 = 169,342.76/x
  3. Step 3: Cross multiply
    291,859.84x = 402,749.22 × 169,342.76
  4. Step 4: Simplify right side
    291,859.84x = 68,202,664,502.65
  5. Step 5: Solve for x
    x = 68,202,664,502.65/291,859.84
  6. Step 6: Final answer
    x = 233,682.94

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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.