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Finding the Fourth Proportional to 310,315.96, 465,473.24 and 82,611.63

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Solution

The fourth proportional to 310,315.96, 465,473.24 and 82,611.63 is: 123,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,315.96 : 465,473.24 = 82,611.63 : x
  2. Step 2: Convert to fraction form
    310,315.96/465,473.24 = 82,611.63/x
  3. Step 3: Cross multiply
    310,315.96x = 465,473.24 × 82,611.63
  4. Step 4: Simplify right side
    310,315.96x = 38,453,503,284.31
  5. Step 5: Solve for x
    x = 38,453,503,284.31/310,315.96
  6. Step 6: Final answer
    x = 123,917.26

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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.