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Finding the Fourth Proportional to 431,907.75, 596,033.24 and 240,933.24

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Solution

The fourth proportional to 431,907.75, 596,033.24 and 240,933.24 is: 332,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,907.75 : 596,033.24 = 240,933.24 : x
  2. Step 2: Convert to fraction form
    431,907.75/596,033.24 = 240,933.24/x
  3. Step 3: Cross multiply
    431,907.75x = 596,033.24 × 240,933.24
  4. Step 4: Simplify right side
    431,907.75x = 143,604,218,456.23
  5. Step 5: Solve for x
    x = 143,604,218,456.23/431,907.75
  6. Step 6: Final answer
    x = 332,488.17

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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.