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Finding the Fourth Proportional to 366,982.70, 550,474.05 and 209,518.70

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Solution

The fourth proportional to 366,982.70, 550,474.05 and 209,518.70 is: 314,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,982.70 : 550,474.05 = 209,518.70 : x
  2. Step 2: Convert to fraction form
    366,982.70/550,474.05 = 209,518.70/x
  3. Step 3: Cross multiply
    366,982.70x = 550,474.05 × 209,518.70
  4. Step 4: Simplify right side
    366,982.70x = 115,334,607,339.74
  5. Step 5: Solve for x
    x = 115,334,607,339.74/366,982.70
  6. Step 6: Final answer
    x = 314,278.05

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Why These Related Problems?

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