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Finding the Fourth Proportional to 335,754.54, 503,800.65 and 209,362.14

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Solution

The fourth proportional to 335,754.54, 503,800.65 and 209,362.14 is: 314,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,754.54 : 503,800.65 = 209,362.14 : x
  2. Step 2: Convert to fraction form
    335,754.54/503,800.65 = 209,362.14/x
  3. Step 3: Cross multiply
    335,754.54x = 503,800.65 × 209,362.14
  4. Step 4: Simplify right side
    335,754.54x = 105,476,782,217.39
  5. Step 5: Solve for x
    x = 105,476,782,217.39/335,754.54
  6. Step 6: Final answer
    x = 314,148.49

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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.