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Finding the Fourth Proportional to 310,265.46, 465,283.26 and 110,532.78

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Solution

The fourth proportional to 310,265.46, 465,283.26 and 110,532.78 is: 165,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,265.46 : 465,283.26 = 110,532.78 : x
  2. Step 2: Convert to fraction form
    310,265.46/465,283.26 = 110,532.78/x
  3. Step 3: Cross multiply
    310,265.46x = 465,283.26 × 110,532.78
  4. Step 4: Simplify right side
    310,265.46x = 51,429,052,215.26
  5. Step 5: Solve for x
    x = 51,429,052,215.26/310,265.46
  6. Step 6: Final answer
    x = 165,758.23

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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.