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Finding the Fourth Proportional to 704,133.23, 971,704.08 and 381,843.23

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Solution

The fourth proportional to 704,133.23, 971,704.08 and 381,843.23 is: 526,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,133.23 : 971,704.08 = 381,843.23 : x
  2. Step 2: Convert to fraction form
    704,133.23/971,704.08 = 381,843.23/x
  3. Step 3: Cross multiply
    704,133.23x = 971,704.08 × 381,843.23
  4. Step 4: Simplify right side
    704,133.23x = 371,038,624,511.38
  5. Step 5: Solve for x
    x = 371,038,624,511.38/704,133.23
  6. Step 6: Final answer
    x = 526,943.78

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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.