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Finding the Fourth Proportional to 413,096.40, 570,026.16 and 231,770.52

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Solution

The fourth proportional to 413,096.40, 570,026.16 and 231,770.52 is: 319,817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,096.40 : 570,026.16 = 231,770.52 : x
  2. Step 2: Convert to fraction form
    413,096.40/570,026.16 = 231,770.52/x
  3. Step 3: Cross multiply
    413,096.40x = 570,026.16 × 231,770.52
  4. Step 4: Simplify right side
    413,096.40x = 132,115,259,516.80
  5. Step 5: Solve for x
    x = 132,115,259,516.80/413,096.40
  6. Step 6: Final answer
    x = 319,817.02

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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.