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Finding the Fourth Proportional to 811,530.96, 1,217,058.50 and 305,727

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Solution

The fourth proportional to 811,530.96, 1,217,058.50 and 305,727 is: 458,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,530.96 : 1,217,058.50 = 305,727 : x
  2. Step 2: Convert to fraction form
    811,530.96/1,217,058.50 = 305,727/x
  3. Step 3: Cross multiply
    811,530.96x = 1,217,058.50 × 305,727
  4. Step 4: Simplify right side
    811,530.96x = 372,087,644,029.50
  5. Step 5: Solve for x
    x = 372,087,644,029.50/811,530.96
  6. Step 6: Final answer
    x = 458,500.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.