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Finding the Fourth Proportional to 423,756.49, 584,781.27 and 230,162.23

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Solution

The fourth proportional to 423,756.49, 584,781.27 and 230,162.23 is: 317,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,756.49 : 584,781.27 = 230,162.23 : x
  2. Step 2: Convert to fraction form
    423,756.49/584,781.27 = 230,162.23/x
  3. Step 3: Cross multiply
    423,756.49x = 584,781.27 × 230,162.23
  4. Step 4: Simplify right side
    423,756.49x = 134,594,561,165.43
  5. Step 5: Solve for x
    x = 134,594,561,165.43/423,756.49
  6. Step 6: Final answer
    x = 317,622.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.