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Finding the Fourth Proportional to 291,858.34, 402,747.15 and 169,341.26

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Solution

The fourth proportional to 291,858.34, 402,747.15 and 169,341.26 is: 233,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,858.34 : 402,747.15 = 169,341.26 : x
  2. Step 2: Convert to fraction form
    291,858.34/402,747.15 = 169,341.26/x
  3. Step 3: Cross multiply
    291,858.34x = 402,747.15 × 169,341.26
  4. Step 4: Simplify right side
    291,858.34x = 68,201,709,842.41
  5. Step 5: Solve for x
    x = 68,201,709,842.41/291,858.34
  6. Step 6: Final answer
    x = 233,680.87

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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.