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Finding the Fourth Proportional to 378,503.84, 522,372.12 and 282,844.40

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Solution

The fourth proportional to 378,503.84, 522,372.12 and 282,844.40 is: 390,352.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,503.84 : 522,372.12 = 282,844.40 : x
  2. Step 2: Convert to fraction form
    378,503.84/522,372.12 = 282,844.40/x
  3. Step 3: Cross multiply
    378,503.84x = 522,372.12 × 282,844.40
  4. Step 4: Simplify right side
    378,503.84x = 147,750,028,858.13
  5. Step 5: Solve for x
    x = 147,750,028,858.13/378,503.84
  6. Step 6: Final answer
    x = 390,352.79

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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.