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Finding the Fourth Proportional to 379,778.40, 570,005.52 and 202,431.84

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Solution

The fourth proportional to 379,778.40, 570,005.52 and 202,431.84 is: 303,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,778.40 : 570,005.52 = 202,431.84 : x
  2. Step 2: Convert to fraction form
    379,778.40/570,005.52 = 202,431.84/x
  3. Step 3: Cross multiply
    379,778.40x = 570,005.52 × 202,431.84
  4. Step 4: Simplify right side
    379,778.40x = 115,387,266,223.76
  5. Step 5: Solve for x
    x = 115,387,266,223.76/379,778.40
  6. Step 6: Final answer
    x = 303,827.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.