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Finding the Fourth Proportional to 707,202, 1,060,997.76 and 208,566

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Solution

The fourth proportional to 707,202, 1,060,997.76 and 208,566 is: 312,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,202 : 1,060,997.76 = 208,566 : x
  2. Step 2: Convert to fraction form
    707,202/1,060,997.76 = 208,566/x
  3. Step 3: Cross multiply
    707,202x = 1,060,997.76 × 208,566
  4. Step 4: Simplify right side
    707,202x = 221,288,058,812.16
  5. Step 5: Solve for x
    x = 221,288,058,812.16/707,202
  6. Step 6: Final answer
    x = 312,906.44

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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.