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Finding the Fourth Proportional to 378,043.92, 521,592.36 and 224,954.16

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Solution

The fourth proportional to 378,043.92, 521,592.36 and 224,954.16 is: 310,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,043.92 : 521,592.36 = 224,954.16 : x
  2. Step 2: Convert to fraction form
    378,043.92/521,592.36 = 224,954.16/x
  3. Step 3: Cross multiply
    378,043.92x = 521,592.36 × 224,954.16
  4. Step 4: Simplify right side
    378,043.92x = 117,334,371,206.22
  5. Step 5: Solve for x
    x = 117,334,371,206.22/378,043.92
  6. Step 6: Final answer
    x = 310,372.33

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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.