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Finding the Fourth Proportional to 311,304.33, 464,377.01 and 302,127.13

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Solution

The fourth proportional to 311,304.33, 464,377.01 and 302,127.13 is: 450,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,304.33 : 464,377.01 = 302,127.13 : x
  2. Step 2: Convert to fraction form
    311,304.33/464,377.01 = 302,127.13/x
  3. Step 3: Cross multiply
    311,304.33x = 464,377.01 × 302,127.13
  4. Step 4: Simplify right side
    311,304.33x = 140,300,890,597.70
  5. Step 5: Solve for x
    x = 140,300,890,597.70/311,304.33
  6. Step 6: Final answer
    x = 450,687.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.