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Finding the Fourth Proportional to 413,764.38, 570,995.33 and 232,476.20

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Solution

The fourth proportional to 413,764.38, 570,995.33 and 232,476.20 is: 320,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,764.38 : 570,995.33 = 232,476.20 : x
  2. Step 2: Convert to fraction form
    413,764.38/570,995.33 = 232,476.20/x
  3. Step 3: Cross multiply
    413,764.38x = 570,995.33 × 232,476.20
  4. Step 4: Simplify right side
    413,764.38x = 132,742,824,265.95
  5. Step 5: Solve for x
    x = 132,742,824,265.95/413,764.38
  6. Step 6: Final answer
    x = 320,817.43

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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.