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Finding the Fourth Proportional to 422,585.84, 583,173.04 and 231,595.12

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Solution

The fourth proportional to 422,585.84, 583,173.04 and 231,595.12 is: 319,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,585.84 : 583,173.04 = 231,595.12 : x
  2. Step 2: Convert to fraction form
    422,585.84/583,173.04 = 231,595.12/x
  3. Step 3: Cross multiply
    422,585.84x = 583,173.04 × 231,595.12
  4. Step 4: Simplify right side
    422,585.84x = 135,060,030,179.57
  5. Step 5: Solve for x
    x = 135,060,030,179.57/422,585.84
  6. Step 6: Final answer
    x = 319,603.78

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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.