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Finding the Fourth Proportional to 412,530.66, 569,327.13 and 231,239.70

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Solution

The fourth proportional to 412,530.66, 569,327.13 and 231,239.70 is: 319,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,530.66 : 569,327.13 = 231,239.70 : x
  2. Step 2: Convert to fraction form
    412,530.66/569,327.13 = 231,239.70/x
  3. Step 3: Cross multiply
    412,530.66x = 569,327.13 × 231,239.70
  4. Step 4: Simplify right side
    412,530.66x = 131,651,034,743.06
  5. Step 5: Solve for x
    x = 131,651,034,743.06/412,530.66
  6. Step 6: Final answer
    x = 319,130.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.