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Finding the Fourth Proportional to 414,002.10, 571,383.40 and 232,728.96

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Solution

The fourth proportional to 414,002.10, 571,383.40 and 232,728.96 is: 321,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,002.10 : 571,383.40 = 232,728.96 : x
  2. Step 2: Convert to fraction form
    414,002.10/571,383.40 = 232,728.96/x
  3. Step 3: Cross multiply
    414,002.10x = 571,383.40 × 232,728.96
  4. Step 4: Simplify right side
    414,002.10x = 132,977,464,443.26
  5. Step 5: Solve for x
    x = 132,977,464,443.26/414,002.10
  6. Step 6: Final answer
    x = 321,199.98

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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.