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Finding the Fourth Proportional to 304,396.56, 419,972.04 and 183,574.80

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Solution

The fourth proportional to 304,396.56, 419,972.04 and 183,574.80 is: 253,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,396.56 : 419,972.04 = 183,574.80 : x
  2. Step 2: Convert to fraction form
    304,396.56/419,972.04 = 183,574.80/x
  3. Step 3: Cross multiply
    304,396.56x = 419,972.04 × 183,574.80
  4. Step 4: Simplify right side
    304,396.56x = 77,096,283,248.59
  5. Step 5: Solve for x
    x = 77,096,283,248.59/304,396.56
  6. Step 6: Final answer
    x = 253,275.80

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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.