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Finding the Fourth Proportional to 422,580.84, 583,166.70 and 231,590.13

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Solution

The fourth proportional to 422,580.84, 583,166.70 and 231,590.13 is: 319,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,580.84 : 583,166.70 = 231,590.13 : x
  2. Step 2: Convert to fraction form
    422,580.84/583,166.70 = 231,590.13/x
  3. Step 3: Cross multiply
    422,580.84x = 583,166.70 × 231,590.13
  4. Step 4: Simplify right side
    422,580.84x = 135,055,651,864.67
  5. Step 5: Solve for x
    x = 135,055,651,864.67/422,580.84
  6. Step 6: Final answer
    x = 319,597.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.