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Finding the Fourth Proportional to 296,496.65, 409,133.94 and 167,427.29

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Solution

The fourth proportional to 296,496.65, 409,133.94 and 167,427.29 is: 231,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,496.65 : 409,133.94 = 167,427.29 : x
  2. Step 2: Convert to fraction form
    296,496.65/409,133.94 = 167,427.29/x
  3. Step 3: Cross multiply
    296,496.65x = 409,133.94 × 167,427.29
  4. Step 4: Simplify right side
    296,496.65x = 68,500,184,775.55
  5. Step 5: Solve for x
    x = 68,500,184,775.55/296,496.65
  6. Step 6: Final answer
    x = 231,031.91

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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.