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Finding the Fourth Proportional to 413,083.44, 570,008.88 and 231,757.65

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Solution

The fourth proportional to 413,083.44, 570,008.88 and 231,757.65 is: 319,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,083.44 : 570,008.88 = 231,757.65 : x
  2. Step 2: Convert to fraction form
    413,083.44/570,008.88 = 231,757.65/x
  3. Step 3: Cross multiply
    413,083.44x = 570,008.88 × 231,757.65
  4. Step 4: Simplify right side
    413,083.44x = 132,103,918,507.93
  5. Step 5: Solve for x
    x = 132,103,918,507.93/413,083.44
  6. Step 6: Final answer
    x = 319,799.60

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1.5x scale

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.