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Finding the Fourth Proportional to 304,770.39, 457,185.66 and 105,064.49

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Solution

The fourth proportional to 304,770.39, 457,185.66 and 105,064.49 is: 157,607.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,770.39 : 457,185.66 = 105,064.49 : x
  2. Step 2: Convert to fraction form
    304,770.39/457,185.66 = 105,064.49/x
  3. Step 3: Cross multiply
    304,770.39x = 457,185.66 × 105,064.49
  4. Step 4: Simplify right side
    304,770.39x = 48,033,975,391.96
  5. Step 5: Solve for x
    x = 48,033,975,391.96/304,770.39
  6. Step 6: Final answer
    x = 157,607.09

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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.