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Finding the Fourth Proportional to 775,620.82, 1,070,226.30 and 431,411.86

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Solution

The fourth proportional to 775,620.82, 1,070,226.30 and 431,411.86 is: 595,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,620.82 : 1,070,226.30 = 431,411.86 : x
  2. Step 2: Convert to fraction form
    775,620.82/1,070,226.30 = 431,411.86/x
  3. Step 3: Cross multiply
    775,620.82x = 1,070,226.30 × 431,411.86
  4. Step 4: Simplify right side
    775,620.82x = 461,708,318,703.92
  5. Step 5: Solve for x
    x = 461,708,318,703.92/775,620.82
  6. Step 6: Final answer
    x = 595,275.82

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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.