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Finding the Fourth Proportional to 703,986.68, 971,514.22 and 381,707.64

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Solution

The fourth proportional to 703,986.68, 971,514.22 and 381,707.64 is: 526,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,986.68 : 971,514.22 = 381,707.64 : x
  2. Step 2: Convert to fraction form
    703,986.68/971,514.22 = 381,707.64/x
  3. Step 3: Cross multiply
    703,986.68x = 971,514.22 × 381,707.64
  4. Step 4: Simplify right side
    703,986.68x = 370,834,400,142.64
  5. Step 5: Solve for x
    x = 370,834,400,142.64/703,986.68
  6. Step 6: Final answer
    x = 526,763.38

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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.