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Finding the Fourth Proportional to 422,544.96, 583,116.66 and 231,554.25

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Solution

The fourth proportional to 422,544.96, 583,116.66 and 231,554.25 is: 319,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,544.96 : 583,116.66 = 231,554.25 : x
  2. Step 2: Convert to fraction form
    422,544.96/583,116.66 = 231,554.25/x
  3. Step 3: Cross multiply
    422,544.96x = 583,116.66 × 231,554.25
  4. Step 4: Simplify right side
    422,544.96x = 135,023,140,868.81
  5. Step 5: Solve for x
    x = 135,023,140,868.81/422,544.96
  6. Step 6: Final answer
    x = 319,547.39

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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.