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Finding the Fourth Proportional to 513,474.36, 769,744.98 and 232,838.52

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Solution

The fourth proportional to 513,474.36, 769,744.98 and 232,838.52 is: 349,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,474.36 : 769,744.98 = 232,838.52 : x
  2. Step 2: Convert to fraction form
    513,474.36/769,744.98 = 232,838.52/x
  3. Step 3: Cross multiply
    513,474.36x = 769,744.98 × 232,838.52
  4. Step 4: Simplify right side
    513,474.36x = 179,226,281,920.63
  5. Step 5: Solve for x
    x = 179,226,281,920.63/513,474.36
  6. Step 6: Final answer
    x = 349,046.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.