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Finding the Fourth Proportional to 310,317.09, 465,512.09 and 110,665.86

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Solution

The fourth proportional to 310,317.09, 465,512.09 and 110,665.86 is: 166,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,317.09 : 465,512.09 = 110,665.86 : x
  2. Step 2: Convert to fraction form
    310,317.09/465,512.09 = 110,665.86/x
  3. Step 3: Cross multiply
    310,317.09x = 465,512.09 × 110,665.86
  4. Step 4: Simplify right side
    310,317.09x = 51,516,295,226.92
  5. Step 5: Solve for x
    x = 51,516,295,226.92/310,317.09
  6. Step 6: Final answer
    x = 166,011.79

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1.5x scale

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.