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Finding the Fourth Proportional to 296,237.15, 408,807.05 and 167,202.78

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Solution

The fourth proportional to 296,237.15, 408,807.05 and 167,202.78 is: 230,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,237.15 : 408,807.05 = 167,202.78 : x
  2. Step 2: Convert to fraction form
    296,237.15/408,807.05 = 167,202.78/x
  3. Step 3: Cross multiply
    296,237.15x = 408,807.05 × 167,202.78
  4. Step 4: Simplify right side
    296,237.15x = 68,353,674,407.59
  5. Step 5: Solve for x
    x = 68,353,674,407.59/296,237.15
  6. Step 6: Final answer
    x = 230,739.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.