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Finding the Fourth Proportional to 304,763.73, 457,175.67 and 105,057.84

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Solution

The fourth proportional to 304,763.73, 457,175.67 and 105,057.84 is: 157,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,763.73 : 457,175.67 = 105,057.84 : x
  2. Step 2: Convert to fraction form
    304,763.73/457,175.67 = 105,057.84/x
  3. Step 3: Cross multiply
    304,763.73x = 457,175.67 × 105,057.84
  4. Step 4: Simplify right side
    304,763.73x = 48,029,888,390.75
  5. Step 5: Solve for x
    x = 48,029,888,390.75/304,763.73
  6. Step 6: Final answer
    x = 157,597.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.