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Finding the Fourth Proportional to 772,226.16, 1,065,679.23 and 428,065.80

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Solution

The fourth proportional to 772,226.16, 1,065,679.23 and 428,065.80 is: 590,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,226.16 : 1,065,679.23 = 428,065.80 : x
  2. Step 2: Convert to fraction form
    772,226.16/1,065,679.23 = 428,065.80/x
  3. Step 3: Cross multiply
    772,226.16x = 1,065,679.23 × 428,065.80
  4. Step 4: Simplify right side
    772,226.16x = 456,180,832,133.33
  5. Step 5: Solve for x
    x = 456,180,832,133.33/772,226.16
  6. Step 6: Final answer
    x = 590,734.76

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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.