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Finding the Fourth Proportional to 413,446.40, 570,521.04 and 232,144.10

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Solution

The fourth proportional to 413,446.40, 570,521.04 and 232,144.10 is: 320,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,446.40 : 570,521.04 = 232,144.10 : x
  2. Step 2: Convert to fraction form
    413,446.40/570,521.04 = 232,144.10/x
  3. Step 3: Cross multiply
    413,446.40x = 570,521.04 × 232,144.10
  4. Step 4: Simplify right side
    413,446.40x = 132,443,093,361.86
  5. Step 5: Solve for x
    x = 132,443,093,361.86/413,446.40
  6. Step 6: Final answer
    x = 320,339.21

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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.