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Finding the Fourth Proportional to 420,200.76, 579,881.24 and 229,218.15

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Solution

The fourth proportional to 420,200.76, 579,881.24 and 229,218.15 is: 316,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,200.76 : 579,881.24 = 229,218.15 : x
  2. Step 2: Convert to fraction form
    420,200.76/579,881.24 = 229,218.15/x
  3. Step 3: Cross multiply
    420,200.76x = 579,881.24 × 229,218.15
  4. Step 4: Simplify right side
    420,200.76x = 132,919,305,052.51
  5. Step 5: Solve for x
    x = 132,919,305,052.51/420,200.76
  6. Step 6: Final answer
    x = 316,323.33

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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.