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Finding the Fourth Proportional to 664,815.36, 997,223 and 310,077.48

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Solution

The fourth proportional to 664,815.36, 997,223 and 310,077.48 is: 465,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,815.36 : 997,223 = 310,077.48 : x
  2. Step 2: Convert to fraction form
    664,815.36/997,223 = 310,077.48/x
  3. Step 3: Cross multiply
    664,815.36x = 997,223 × 310,077.48
  4. Step 4: Simplify right side
    664,815.36x = 309,216,394,838.04
  5. Step 5: Solve for x
    x = 309,216,394,838.04/664,815.36
  6. Step 6: Final answer
    x = 465,116.20

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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.