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Finding the Fourth Proportional to 501,816.38, 753,471.91 and 202,880.82

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Solution

The fourth proportional to 501,816.38, 753,471.91 and 202,880.82 is: 304,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,816.38 : 753,471.91 = 202,880.82 : x
  2. Step 2: Convert to fraction form
    501,816.38/753,471.91 = 202,880.82/x
  3. Step 3: Cross multiply
    501,816.38x = 753,471.91 × 202,880.82
  4. Step 4: Simplify right side
    501,816.38x = 152,864,998,947.77
  5. Step 5: Solve for x
    x = 152,864,998,947.77/501,816.38
  6. Step 6: Final answer
    x = 304,623.37

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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.