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Finding the Fourth Proportional to 484,567.23, 726,853.58 and 431,505.14

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Solution

The fourth proportional to 484,567.23, 726,853.58 and 431,505.14 is: 647,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,567.23 : 726,853.58 = 431,505.14 : x
  2. Step 2: Convert to fraction form
    484,567.23/726,853.58 = 431,505.14/x
  3. Step 3: Cross multiply
    484,567.23x = 726,853.58 × 431,505.14
  4. Step 4: Simplify right side
    484,567.23x = 313,641,055,797.40
  5. Step 5: Solve for x
    x = 313,641,055,797.40/484,567.23
  6. Step 6: Final answer
    x = 647,260.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.