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Finding the Fourth Proportional to 420,201.84, 579,882.24 and 229,216.08

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Solution

The fourth proportional to 420,201.84, 579,882.24 and 229,216.08 is: 316,320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,201.84 : 579,882.24 = 229,216.08 : x
  2. Step 2: Convert to fraction form
    420,201.84/579,882.24 = 229,216.08/x
  3. Step 3: Cross multiply
    420,201.84x = 579,882.24 × 229,216.08
  4. Step 4: Simplify right side
    420,201.84x = 132,918,333,914.42
  5. Step 5: Solve for x
    x = 132,918,333,914.42/420,201.84
  6. Step 6: Final answer
    x = 316,320.21

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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.