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Finding the Fourth Proportional to 310,259.64, 464,958.89 and 141,367.22

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Solution

The fourth proportional to 310,259.64, 464,958.89 and 141,367.22 is: 211,854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,259.64 : 464,958.89 = 141,367.22 : x
  2. Step 2: Convert to fraction form
    310,259.64/464,958.89 = 141,367.22/x
  3. Step 3: Cross multiply
    310,259.64x = 464,958.89 × 141,367.22
  4. Step 4: Simplify right side
    310,259.64x = 65,729,942,661.96
  5. Step 5: Solve for x
    x = 65,729,942,661.96/310,259.64
  6. Step 6: Final answer
    x = 211,854.63

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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.