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Finding the Fourth Proportional to 412,531.76, 569,329.41 and 231,278.67

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Solution

The fourth proportional to 412,531.76, 569,329.41 and 231,278.67 is: 319,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,531.76 : 569,329.41 = 231,278.67 : x
  2. Step 2: Convert to fraction form
    412,531.76/569,329.41 = 231,278.67/x
  3. Step 3: Cross multiply
    412,531.76x = 569,329.41 × 231,278.67
  4. Step 4: Simplify right side
    412,531.76x = 131,673,746,701.80
  5. Step 5: Solve for x
    x = 131,673,746,701.80/412,531.76
  6. Step 6: Final answer
    x = 319,184.51

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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.