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Finding the Fourth Proportional to 500,400.12, 690,538.70 and 285,536.28

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Solution

The fourth proportional to 500,400.12, 690,538.70 and 285,536.28 is: 394,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,400.12 : 690,538.70 = 285,536.28 : x
  2. Step 2: Convert to fraction form
    500,400.12/690,538.70 = 285,536.28/x
  3. Step 3: Cross multiply
    500,400.12x = 690,538.70 × 285,536.28
  4. Step 4: Simplify right side
    500,400.12x = 197,173,851,594.04
  5. Step 5: Solve for x
    x = 197,173,851,594.04/500,400.12
  6. Step 6: Final answer
    x = 394,032.38

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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.