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Finding the Fourth Proportional to 759,296.16, 1,047,786.84 and 419,742

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Solution

The fourth proportional to 759,296.16, 1,047,786.84 and 419,742 is: 579,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,296.16 : 1,047,786.84 = 419,742 : x
  2. Step 2: Convert to fraction form
    759,296.16/1,047,786.84 = 419,742/x
  3. Step 3: Cross multiply
    759,296.16x = 1,047,786.84 × 419,742
  4. Step 4: Simplify right side
    759,296.16x = 439,800,143,795.28
  5. Step 5: Solve for x
    x = 439,800,143,795.28/759,296.16
  6. Step 6: Final answer
    x = 579,220.82

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