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Finding the Fourth Proportional to 422,586.84, 583,174.42 and 231,596.12

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Solution

The fourth proportional to 422,586.84, 583,174.42 and 231,596.12 is: 319,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,586.84 : 583,174.42 = 231,596.12 : x
  2. Step 2: Convert to fraction form
    422,586.84/583,174.42 = 231,596.12/x
  3. Step 3: Cross multiply
    422,586.84x = 583,174.42 × 231,596.12
  4. Step 4: Simplify right side
    422,586.84x = 135,060,932,955.25
  5. Step 5: Solve for x
    x = 135,060,932,955.25/422,586.84
  6. Step 6: Final answer
    x = 319,605.16

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1.5x scale

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.