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Finding the Fourth Proportional to 422,798.46, 583,457.43 and 231,811.38

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Solution

The fourth proportional to 422,798.46, 583,457.43 and 231,811.38 is: 319,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,798.46 : 583,457.43 = 231,811.38 : x
  2. Step 2: Convert to fraction form
    422,798.46/583,457.43 = 231,811.38/x
  3. Step 3: Cross multiply
    422,798.46x = 583,457.43 × 231,811.38
  4. Step 4: Simplify right side
    422,798.46x = 135,252,072,019.55
  5. Step 5: Solve for x
    x = 135,252,072,019.55/422,798.46
  6. Step 6: Final answer
    x = 319,897.27

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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.