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Finding the Fourth Proportional to 291,356.15, 402,078.38 and 162,303.33

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Solution

The fourth proportional to 291,356.15, 402,078.38 and 162,303.33 is: 223,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,356.15 : 402,078.38 = 162,303.33 : x
  2. Step 2: Convert to fraction form
    291,356.15/402,078.38 = 162,303.33/x
  3. Step 3: Cross multiply
    291,356.15x = 402,078.38 × 162,303.33
  4. Step 4: Simplify right side
    291,356.15x = 65,258,659,183.49
  5. Step 5: Solve for x
    x = 65,258,659,183.49/291,356.15
  6. Step 6: Final answer
    x = 223,982.44

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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.