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Finding the Fourth Proportional to 411,419.72, 567,811.80 and 230,141.72

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Solution

The fourth proportional to 411,419.72, 567,811.80 and 230,141.72 is: 317,624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,419.72 : 567,811.80 = 230,141.72 : x
  2. Step 2: Convert to fraction form
    411,419.72/567,811.80 = 230,141.72/x
  3. Step 3: Cross multiply
    411,419.72x = 567,811.80 × 230,141.72
  4. Step 4: Simplify right side
    411,419.72x = 130,677,184,288.30
  5. Step 5: Solve for x
    x = 130,677,184,288.30/411,419.72
  6. Step 6: Final answer
    x = 317,624.99

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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.