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Finding the Fourth Proportional to 775,406.72, 1,069,930.86 and 431,197.52

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Solution

The fourth proportional to 775,406.72, 1,069,930.86 and 431,197.52 is: 594,980.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,406.72 : 1,069,930.86 = 431,197.52 : x
  2. Step 2: Convert to fraction form
    775,406.72/1,069,930.86 = 431,197.52/x
  3. Step 3: Cross multiply
    775,406.72x = 1,069,930.86 × 431,197.52
  4. Step 4: Simplify right side
    775,406.72x = 461,351,533,403.47
  5. Step 5: Solve for x
    x = 461,351,533,403.47/775,406.72
  6. Step 6: Final answer
    x = 594,980.06

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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.