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Finding the Fourth Proportional to 584,995.50, 806,513.10 and 464,535.54

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Solution

The fourth proportional to 584,995.50, 806,513.10 and 464,535.54 is: 640,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,995.50 : 806,513.10 = 464,535.54 : x
  2. Step 2: Convert to fraction form
    584,995.50/806,513.10 = 464,535.54/x
  3. Step 3: Cross multiply
    584,995.50x = 806,513.10 × 464,535.54
  4. Step 4: Simplify right side
    584,995.50x = 374,653,998,425.57
  5. Step 5: Solve for x
    x = 374,653,998,425.57/584,995.50
  6. Step 6: Final answer
    x = 640,439.11

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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.