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Finding the Fourth Proportional to 420,208.72, 579,884.32 and 229,218

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Solution

The fourth proportional to 420,208.72, 579,884.32 and 229,218 is: 316,318.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,208.72 : 579,884.32 = 229,218 : x
  2. Step 2: Convert to fraction form
    420,208.72/579,884.32 = 229,218/x
  3. Step 3: Cross multiply
    420,208.72x = 579,884.32 × 229,218
  4. Step 4: Simplify right side
    420,208.72x = 132,919,924,061.76
  5. Step 5: Solve for x
    x = 132,919,924,061.76/420,208.72
  6. Step 6: Final answer
    x = 316,318.81

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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.