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Finding the Fourth Proportional to 412,620.60, 569,415.96 and 231,332.58

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Solution

The fourth proportional to 412,620.60, 569,415.96 and 231,332.58 is: 319,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,620.60 : 569,415.96 = 231,332.58 : x
  2. Step 2: Convert to fraction form
    412,620.60/569,415.96 = 231,332.58/x
  3. Step 3: Cross multiply
    412,620.60x = 569,415.96 × 231,332.58
  4. Step 4: Simplify right side
    412,620.60x = 131,724,463,119.98
  5. Step 5: Solve for x
    x = 131,724,463,119.98/412,620.60
  6. Step 6: Final answer
    x = 319,238.70

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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.