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Finding the Fourth Proportional to 701,962.23, 968,708.10 and 396,103.47

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Solution

The fourth proportional to 701,962.23, 968,708.10 and 396,103.47 is: 546,622.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,962.23 : 968,708.10 = 396,103.47 : x
  2. Step 2: Convert to fraction form
    701,962.23/968,708.10 = 396,103.47/x
  3. Step 3: Cross multiply
    701,962.23x = 968,708.10 × 396,103.47
  4. Step 4: Simplify right side
    701,962.23x = 383,708,639,827.11
  5. Step 5: Solve for x
    x = 383,708,639,827.11/701,962.23
  6. Step 6: Final answer
    x = 546,622.91

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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.