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Finding the Fourth Proportional to 420,207.72, 579,882.94 and 229,217.01

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Solution

The fourth proportional to 420,207.72, 579,882.94 and 229,217.01 is: 316,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,207.72 : 579,882.94 = 229,217.01 : x
  2. Step 2: Convert to fraction form
    420,207.72/579,882.94 = 229,217.01/x
  3. Step 3: Cross multiply
    420,207.72x = 579,882.94 × 229,217.01
  4. Step 4: Simplify right side
    420,207.72x = 132,919,033,656.81
  5. Step 5: Solve for x
    x = 132,919,033,656.81/420,207.72
  6. Step 6: Final answer
    x = 316,317.45

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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.