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Finding the Fourth Proportional to 472,532.82, 709,265.79 and 206,476.98

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Solution

The fourth proportional to 472,532.82, 709,265.79 and 206,476.98 is: 309,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,532.82 : 709,265.79 = 206,476.98 : x
  2. Step 2: Convert to fraction form
    472,532.82/709,265.79 = 206,476.98/x
  3. Step 3: Cross multiply
    472,532.82x = 709,265.79 × 206,476.98
  4. Step 4: Simplify right side
    472,532.82x = 146,447,058,336.51
  5. Step 5: Solve for x
    x = 146,447,058,336.51/472,532.82
  6. Step 6: Final answer
    x = 309,919.34

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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.