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Finding the Fourth Proportional to 589,387.22, 884,087 and 471,806

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Solution

The fourth proportional to 589,387.22, 884,087 and 471,806 is: 707,713.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,387.22 : 884,087 = 471,806 : x
  2. Step 2: Convert to fraction form
    589,387.22/884,087 = 471,806/x
  3. Step 3: Cross multiply
    589,387.22x = 884,087 × 471,806
  4. Step 4: Simplify right side
    589,387.22x = 417,117,551,122
  5. Step 5: Solve for x
    x = 417,117,551,122/589,387.22
  6. Step 6: Final answer
    x = 707,713.94

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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.