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Finding the Fourth Proportional to 377,296.40, 565,749.80 and 111,022.30

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Solution

The fourth proportional to 377,296.40, 565,749.80 and 111,022.30 is: 166,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,296.40 : 565,749.80 = 111,022.30 : x
  2. Step 2: Convert to fraction form
    377,296.40/565,749.80 = 111,022.30/x
  3. Step 3: Cross multiply
    377,296.40x = 565,749.80 × 111,022.30
  4. Step 4: Simplify right side
    377,296.40x = 62,810,844,020.54
  5. Step 5: Solve for x
    x = 62,810,844,020.54/377,296.40
  6. Step 6: Final answer
    x = 166,476.13

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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.