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Finding the Fourth Proportional to 704,134.47, 971,706.06 and 381,844.47

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Solution

The fourth proportional to 704,134.47, 971,706.06 and 381,844.47 is: 526,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,134.47 : 971,706.06 = 381,844.47 : x
  2. Step 2: Convert to fraction form
    704,134.47/971,706.06 = 381,844.47/x
  3. Step 3: Cross multiply
    704,134.47x = 971,706.06 × 381,844.47
  4. Step 4: Simplify right side
    704,134.47x = 371,040,585,476.49
  5. Step 5: Solve for x
    x = 371,040,585,476.49/704,134.47
  6. Step 6: Final answer
    x = 526,945.64

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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.