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Finding the Fourth Proportional to 752,069, 1,037,855.28 and 412,538.12

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Solution

The fourth proportional to 752,069, 1,037,855.28 and 412,538.12 is: 569,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,069 : 1,037,855.28 = 412,538.12 : x
  2. Step 2: Convert to fraction form
    752,069/1,037,855.28 = 412,538.12/x
  3. Step 3: Cross multiply
    752,069x = 1,037,855.28 × 412,538.12
  4. Step 4: Simplify right side
    752,069x = 428,154,866,043.27
  5. Step 5: Solve for x
    x = 428,154,866,043.27/752,069
  6. Step 6: Final answer
    x = 569,302.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.