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Finding the Fourth Proportional to 289,113.94, 398,792.12 and 231,890.57

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Solution

The fourth proportional to 289,113.94, 398,792.12 and 231,890.57 is: 319,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,113.94 : 398,792.12 = 231,890.57 : x
  2. Step 2: Convert to fraction form
    289,113.94/398,792.12 = 231,890.57/x
  3. Step 3: Cross multiply
    289,113.94x = 398,792.12 × 231,890.57
  4. Step 4: Simplify right side
    289,113.94x = 92,476,132,018.31
  5. Step 5: Solve for x
    x = 92,476,132,018.31/289,113.94
  6. Step 6: Final answer
    x = 319,860.51

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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.