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Finding the Fourth Proportional to 234,283.78, 351,422.56 and 56,792.40

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Solution

The fourth proportional to 234,283.78, 351,422.56 and 56,792.40 is: 85,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,283.78 : 351,422.56 = 56,792.40 : x
  2. Step 2: Convert to fraction form
    234,283.78/351,422.56 = 56,792.40/x
  3. Step 3: Cross multiply
    234,283.78x = 351,422.56 × 56,792.40
  4. Step 4: Simplify right side
    234,283.78x = 19,958,130,596.54
  5. Step 5: Solve for x
    x = 19,958,130,596.54/234,283.78
  6. Step 6: Final answer
    x = 85,187.85

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Why These Related Problems?

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