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Finding the Fourth Proportional to 412,532.88, 569,167.52 and 231,219.68

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Solution

The fourth proportional to 412,532.88, 569,167.52 and 231,219.68 is: 319,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,532.88 : 569,167.52 = 231,219.68 : x
  2. Step 2: Convert to fraction form
    412,532.88/569,167.52 = 231,219.68/x
  3. Step 3: Cross multiply
    412,532.88x = 569,167.52 × 231,219.68
  4. Step 4: Simplify right side
    412,532.88x = 131,602,731,840.79
  5. Step 5: Solve for x
    x = 131,602,731,840.79/412,532.88
  6. Step 6: Final answer
    x = 319,011.50

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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.