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Finding the Fourth Proportional to 420,198.84, 579,878.10 and 229,213.08

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Solution

The fourth proportional to 420,198.84, 579,878.10 and 229,213.08 is: 316,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,198.84 : 579,878.10 = 229,213.08 : x
  2. Step 2: Convert to fraction form
    420,198.84/579,878.10 = 229,213.08/x
  3. Step 3: Cross multiply
    420,198.84x = 579,878.10 × 229,213.08
  4. Step 4: Simplify right side
    420,198.84x = 132,915,645,325.55
  5. Step 5: Solve for x
    x = 132,915,645,325.55/420,198.84
  6. Step 6: Final answer
    x = 316,316.07

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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.