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Finding the Fourth Proportional to 311,304.83, 464,377.75 and 302,127.63

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Solution

The fourth proportional to 311,304.83, 464,377.75 and 302,127.63 is: 450,687.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,304.83 : 464,377.75 = 302,127.63 : x
  2. Step 2: Convert to fraction form
    311,304.83/464,377.75 = 302,127.63/x
  3. Step 3: Cross multiply
    311,304.83x = 464,377.75 × 302,127.63
  4. Step 4: Simplify right side
    311,304.83x = 140,301,349,032.23
  5. Step 5: Solve for x
    x = 140,301,349,032.23/311,304.83
  6. Step 6: Final answer
    x = 450,687.99

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