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Finding the Fourth Proportional to 422,874.06, 583,001.66 and 335,947.58

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Solution

The fourth proportional to 422,874.06, 583,001.66 and 335,947.58 is: 463,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,874.06 : 583,001.66 = 335,947.58 : x
  2. Step 2: Convert to fraction form
    422,874.06/583,001.66 = 335,947.58/x
  3. Step 3: Cross multiply
    422,874.06x = 583,001.66 × 335,947.58
  4. Step 4: Simplify right side
    422,874.06x = 195,857,996,812.98
  5. Step 5: Solve for x
    x = 195,857,996,812.98/422,874.06
  6. Step 6: Final answer
    x = 463,159.17

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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.