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Finding the Fourth Proportional to 747,189, 1,031,120.82 and 478,917

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Solution

The fourth proportional to 747,189, 1,031,120.82 and 478,917 is: 660,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,189 : 1,031,120.82 = 478,917 : x
  2. Step 2: Convert to fraction form
    747,189/1,031,120.82 = 478,917/x
  3. Step 3: Cross multiply
    747,189x = 1,031,120.82 × 478,917
  4. Step 4: Simplify right side
    747,189x = 493,821,289,751.94
  5. Step 5: Solve for x
    x = 493,821,289,751.94/747,189
  6. Step 6: Final answer
    x = 660,905.46

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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.