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Finding the Fourth Proportional to 304,397.56, 419,973.42 and 183,575.80

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Solution

The fourth proportional to 304,397.56, 419,973.42 and 183,575.80 is: 253,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,397.56 : 419,973.42 = 183,575.80 : x
  2. Step 2: Convert to fraction form
    304,397.56/419,973.42 = 183,575.80/x
  3. Step 3: Cross multiply
    304,397.56x = 419,973.42 × 183,575.80
  4. Step 4: Simplify right side
    304,397.56x = 77,096,956,555.24
  5. Step 5: Solve for x
    x = 77,096,956,555.24/304,397.56
  6. Step 6: Final answer
    x = 253,277.18

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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.