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Finding the Fourth Proportional to 772,410.22, 1,065,988.92 and 428,280.30

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Solution

The fourth proportional to 772,410.22, 1,065,988.92 and 428,280.30 is: 591,061.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,410.22 : 1,065,988.92 = 428,280.30 : x
  2. Step 2: Convert to fraction form
    772,410.22/1,065,988.92 = 428,280.30/x
  3. Step 3: Cross multiply
    772,410.22x = 1,065,988.92 × 428,280.30
  4. Step 4: Simplify right side
    772,410.22x = 456,542,054,454.28
  5. Step 5: Solve for x
    x = 456,542,054,454.28/772,410.22
  6. Step 6: Final answer
    x = 591,061.64

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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.