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Finding the Fourth Proportional to 741,097.53, 1,022,598 and 431,068.68

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Solution

The fourth proportional to 741,097.53, 1,022,598 and 431,068.68 is: 594,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,097.53 : 1,022,598 = 431,068.68 : x
  2. Step 2: Convert to fraction form
    741,097.53/1,022,598 = 431,068.68/x
  3. Step 3: Cross multiply
    741,097.53x = 1,022,598 × 431,068.68
  4. Step 4: Simplify right side
    741,097.53x = 440,809,970,030.64
  5. Step 5: Solve for x
    x = 440,809,970,030.64/741,097.53
  6. Step 6: Final answer
    x = 594,806.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.