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Finding the Fourth Proportional to 413,286.93, 570,189.29 and 270,129.51

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Solution

The fourth proportional to 413,286.93, 570,189.29 and 270,129.51 is: 372,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,286.93 : 570,189.29 = 270,129.51 : x
  2. Step 2: Convert to fraction form
    413,286.93/570,189.29 = 270,129.51/x
  3. Step 3: Cross multiply
    413,286.93x = 570,189.29 × 270,129.51
  4. Step 4: Simplify right side
    413,286.93x = 154,024,952,164.30
  5. Step 5: Solve for x
    x = 154,024,952,164.30/413,286.93
  6. Step 6: Final answer
    x = 372,682.85

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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.