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Finding the Fourth Proportional to 413,376.28, 570,415.20 and 232,108

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Solution

The fourth proportional to 413,376.28, 570,415.20 and 232,108 is: 320,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,376.28 : 570,415.20 = 232,108 : x
  2. Step 2: Convert to fraction form
    413,376.28/570,415.20 = 232,108/x
  3. Step 3: Cross multiply
    413,376.28x = 570,415.20 × 232,108
  4. Step 4: Simplify right side
    413,376.28x = 132,397,931,241.60
  5. Step 5: Solve for x
    x = 132,397,931,241.60/413,376.28
  6. Step 6: Final answer
    x = 320,284.30

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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.