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Finding the Fourth Proportional to 706,357.20, 974,766.12 and 384,067.36

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Solution

The fourth proportional to 706,357.20, 974,766.12 and 384,067.36 is: 530,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,357.20 : 974,766.12 = 384,067.36 : x
  2. Step 2: Convert to fraction form
    706,357.20/974,766.12 = 384,067.36/x
  3. Step 3: Cross multiply
    706,357.20x = 974,766.12 × 384,067.36
  4. Step 4: Simplify right side
    706,357.20x = 374,375,850,325.84
  5. Step 5: Solve for x
    x = 374,375,850,325.84/706,357.20
  6. Step 6: Final answer
    x = 530,009.25

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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.