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Finding the Fourth Proportional to 706,355.52, 974,782.80 and 384,067.80

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Solution

The fourth proportional to 706,355.52, 974,782.80 and 384,067.80 is: 530,020.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,355.52 : 974,782.80 = 384,067.80 : x
  2. Step 2: Convert to fraction form
    706,355.52/974,782.80 = 384,067.80/x
  3. Step 3: Cross multiply
    706,355.52x = 974,782.80 × 384,067.80
  4. Step 4: Simplify right side
    706,355.52x = 374,382,685,473.84
  5. Step 5: Solve for x
    x = 374,382,685,473.84/706,355.52
  6. Step 6: Final answer
    x = 530,020.19

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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.