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Finding the Fourth Proportional to 422,541.96, 583,112.51 and 231,551.25

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Solution

The fourth proportional to 422,541.96, 583,112.51 and 231,551.25 is: 319,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,541.96 : 583,112.51 = 231,551.25 : x
  2. Step 2: Convert to fraction form
    422,541.96/583,112.51 = 231,551.25/x
  3. Step 3: Cross multiply
    422,541.96x = 583,112.51 × 231,551.25
  4. Step 4: Simplify right side
    422,541.96x = 135,020,429,423.38
  5. Step 5: Solve for x
    x = 135,020,429,423.38/422,541.96
  6. Step 6: Final answer
    x = 319,543.25

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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.