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Finding the Fourth Proportional to 704,126.47, 971,694.77 and 381,836.48

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Solution

The fourth proportional to 704,126.47, 971,694.77 and 381,836.48 is: 526,934.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,126.47 : 971,694.77 = 381,836.48 : x
  2. Step 2: Convert to fraction form
    704,126.47/971,694.77 = 381,836.48/x
  3. Step 3: Cross multiply
    704,126.47x = 971,694.77 × 381,836.48
  4. Step 4: Simplify right side
    704,126.47x = 371,028,508,702.03
  5. Step 5: Solve for x
    x = 371,028,508,702.03/704,126.47
  6. Step 6: Final answer
    x = 526,934.47

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1.5x scale

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.