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Finding the Fourth Proportional to 475,166.17, 712,983.44 and 222,463.77

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Solution

The fourth proportional to 475,166.17, 712,983.44 and 222,463.77 is: 333,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,166.17 : 712,983.44 = 222,463.77 : x
  2. Step 2: Convert to fraction form
    475,166.17/712,983.44 = 222,463.77/x
  3. Step 3: Cross multiply
    475,166.17x = 712,983.44 × 222,463.77
  4. Step 4: Simplify right side
    475,166.17x = 158,612,984,009.97
  5. Step 5: Solve for x
    x = 158,612,984,009.97/475,166.17
  6. Step 6: Final answer
    x = 333,805.30

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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.