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Finding the Fourth Proportional to 412,412.24, 569,168.84 and 231,154.96

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Solution

The fourth proportional to 412,412.24, 569,168.84 and 231,154.96 is: 319,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,412.24 : 569,168.84 = 231,154.96 : x
  2. Step 2: Convert to fraction form
    412,412.24/569,168.84 = 231,154.96/x
  3. Step 3: Cross multiply
    412,412.24x = 569,168.84 × 231,154.96
  4. Step 4: Simplify right side
    412,412.24x = 131,566,200,443.45
  5. Step 5: Solve for x
    x = 131,566,200,443.45/412,412.24
  6. Step 6: Final answer
    x = 319,016.24

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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.