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Finding the Fourth Proportional to 566,838.38, 782,201.06 and 312,189.56

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Solution

The fourth proportional to 566,838.38, 782,201.06 and 312,189.56 is: 430,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,838.38 : 782,201.06 = 312,189.56 : x
  2. Step 2: Convert to fraction form
    566,838.38/782,201.06 = 312,189.56/x
  3. Step 3: Cross multiply
    566,838.38x = 782,201.06 × 312,189.56
  4. Step 4: Simplify right side
    566,838.38x = 244,195,004,752.93
  5. Step 5: Solve for x
    x = 244,195,004,752.93/566,838.38
  6. Step 6: Final answer
    x = 430,801.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.