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Finding the Fourth Proportional to 413,447.40, 570,522.42 and 232,145.10

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Solution

The fourth proportional to 413,447.40, 570,522.42 and 232,145.10 is: 320,340.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,447.40 : 570,522.42 = 232,145.10 : x
  2. Step 2: Convert to fraction form
    413,447.40/570,522.42 = 232,145.10/x
  3. Step 3: Cross multiply
    413,447.40x = 570,522.42 × 232,145.10
  4. Step 4: Simplify right side
    413,447.40x = 132,443,984,243.14
  5. Step 5: Solve for x
    x = 132,443,984,243.14/413,447.40
  6. Step 6: Final answer
    x = 320,340.59

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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.