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Finding the Fourth Proportional to 369,227.49, 509,526.87 and 208,079.33

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Solution

The fourth proportional to 369,227.49, 509,526.87 and 208,079.33 is: 287,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,227.49 : 509,526.87 = 208,079.33 : x
  2. Step 2: Convert to fraction form
    369,227.49/509,526.87 = 208,079.33/x
  3. Step 3: Cross multiply
    369,227.49x = 509,526.87 × 208,079.33
  4. Step 4: Simplify right side
    369,227.49x = 106,022,007,178.96
  5. Step 5: Solve for x
    x = 106,022,007,178.96/369,227.49
  6. Step 6: Final answer
    x = 287,145.49

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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.