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Finding the Fourth Proportional to 566,948.74, 782,391.38 and 312,299.32

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Solution

The fourth proportional to 566,948.74, 782,391.38 and 312,299.32 is: 430,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,948.74 : 782,391.38 = 312,299.32 : x
  2. Step 2: Convert to fraction form
    566,948.74/782,391.38 = 312,299.32/x
  3. Step 3: Cross multiply
    566,948.74x = 782,391.38 × 312,299.32
  4. Step 4: Simplify right side
    566,948.74x = 244,340,295,947.86
  5. Step 5: Solve for x
    x = 244,340,295,947.86/566,948.74
  6. Step 6: Final answer
    x = 430,974.23

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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.