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Finding the Fourth Proportional to 431,813.87, 596,144.04 and 303,147.17

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Solution

The fourth proportional to 431,813.87, 596,144.04 and 303,147.17 is: 418,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,813.87 : 596,144.04 = 303,147.17 : x
  2. Step 2: Convert to fraction form
    431,813.87/596,144.04 = 303,147.17/x
  3. Step 3: Cross multiply
    431,813.87x = 596,144.04 × 303,147.17
  4. Step 4: Simplify right side
    431,813.87x = 180,719,378,638.37
  5. Step 5: Solve for x
    x = 180,719,378,638.37/431,813.87
  6. Step 6: Final answer
    x = 418,512.21

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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.