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Finding the Fourth Proportional to 310,633.30, 465,949.92 and 100,302.22

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Solution

The fourth proportional to 310,633.30, 465,949.92 and 100,302.22 is: 150,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,633.30 : 465,949.92 = 100,302.22 : x
  2. Step 2: Convert to fraction form
    310,633.30/465,949.92 = 100,302.22/x
  3. Step 3: Cross multiply
    310,633.30x = 465,949.92 × 100,302.22
  4. Step 4: Simplify right side
    310,633.30x = 46,735,811,384.82
  5. Step 5: Solve for x
    x = 46,735,811,384.82/310,633.30
  6. Step 6: Final answer
    x = 150,453.32

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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.