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Finding the Fourth Proportional to 622,784.84, 859,506.56 and 381,227.04

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Solution

The fourth proportional to 622,784.84, 859,506.56 and 381,227.04 is: 526,132.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,784.84 : 859,506.56 = 381,227.04 : x
  2. Step 2: Convert to fraction form
    622,784.84/859,506.56 = 381,227.04/x
  3. Step 3: Cross multiply
    622,784.84x = 859,506.56 × 381,227.04
  4. Step 4: Simplify right side
    622,784.84x = 327,667,141,729.38
  5. Step 5: Solve for x
    x = 327,667,141,729.38/622,784.84
  6. Step 6: Final answer
    x = 526,132.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.