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Finding the Fourth Proportional to 296,799.30, 409,603.14 and 167,693.04

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Solution

The fourth proportional to 296,799.30, 409,603.14 and 167,693.04 is: 231,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,799.30 : 409,603.14 = 167,693.04 : x
  2. Step 2: Convert to fraction form
    296,799.30/409,603.14 = 167,693.04/x
  3. Step 3: Cross multiply
    296,799.30x = 409,603.14 × 167,693.04
  4. Step 4: Simplify right side
    296,799.30x = 68,687,595,740.15
  5. Step 5: Solve for x
    x = 68,687,595,740.15/296,799.30
  6. Step 6: Final answer
    x = 231,427.76

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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.