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Finding the Fourth Proportional to 413,761.43, 570,989.90 and 232,478.03

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Solution

The fourth proportional to 413,761.43, 570,989.90 and 232,478.03 is: 320,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,761.43 : 570,989.90 = 232,478.03 : x
  2. Step 2: Convert to fraction form
    413,761.43/570,989.90 = 232,478.03/x
  3. Step 3: Cross multiply
    413,761.43x = 570,989.90 × 232,478.03
  4. Step 4: Simplify right side
    413,761.43x = 132,742,604,828.14
  5. Step 5: Solve for x
    x = 132,742,604,828.14/413,761.43
  6. Step 6: Final answer
    x = 320,819.19

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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.