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Finding the Fourth Proportional to 411,301.20, 567,607.32 and 230,019.96

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Solution

The fourth proportional to 411,301.20, 567,607.32 and 230,019.96 is: 317,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,301.20 : 567,607.32 = 230,019.96 : x
  2. Step 2: Convert to fraction form
    411,301.20/567,607.32 = 230,019.96/x
  3. Step 3: Cross multiply
    411,301.20x = 567,607.32 × 230,019.96
  4. Step 4: Simplify right side
    411,301.20x = 130,561,013,042.11
  5. Step 5: Solve for x
    x = 130,561,013,042.11/411,301.20
  6. Step 6: Final answer
    x = 317,434.07

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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.