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Finding the Fourth Proportional to 422,882.40, 583,013.14 and 335,955.91

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Solution

The fourth proportional to 422,882.40, 583,013.14 and 335,955.91 is: 463,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,882.40 : 583,013.14 = 335,955.91 : x
  2. Step 2: Convert to fraction form
    422,882.40/583,013.14 = 335,955.91/x
  3. Step 3: Cross multiply
    422,882.40x = 583,013.14 × 335,955.91
  4. Step 4: Simplify right side
    422,882.40x = 195,866,709,990.66
  5. Step 5: Solve for x
    x = 195,866,709,990.66/422,882.40
  6. Step 6: Final answer
    x = 463,170.64

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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.