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Finding the Fourth Proportional to 772,411.22, 1,065,990.30 and 428,281.30

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Solution

The fourth proportional to 772,411.22, 1,065,990.30 and 428,281.30 is: 591,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,411.22 : 1,065,990.30 = 428,281.30 : x
  2. Step 2: Convert to fraction form
    772,411.22/1,065,990.30 = 428,281.30/x
  3. Step 3: Cross multiply
    772,411.22x = 1,065,990.30 × 428,281.30
  4. Step 4: Simplify right side
    772,411.22x = 456,543,711,471.39
  5. Step 5: Solve for x
    x = 456,543,711,471.39/772,411.22
  6. Step 6: Final answer
    x = 591,063.02

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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.