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Finding the Fourth Proportional to 425,357.46, 586,994.31 and 231,764.22

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Solution

The fourth proportional to 425,357.46, 586,994.31 and 231,764.22 is: 319,835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,357.46 : 586,994.31 = 231,764.22 : x
  2. Step 2: Convert to fraction form
    425,357.46/586,994.31 = 231,764.22/x
  3. Step 3: Cross multiply
    425,357.46x = 586,994.31 × 231,764.22
  4. Step 4: Simplify right side
    425,357.46x = 136,044,278,401.59
  5. Step 5: Solve for x
    x = 136,044,278,401.59/425,357.46
  6. Step 6: Final answer
    x = 319,835.18

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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.