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Finding the Fourth Proportional to 304,727.36, 457,385.88 and 147,066.80

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Solution

The fourth proportional to 304,727.36, 457,385.88 and 147,066.80 is: 220,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,727.36 : 457,385.88 = 147,066.80 : x
  2. Step 2: Convert to fraction form
    304,727.36/457,385.88 = 147,066.80/x
  3. Step 3: Cross multiply
    304,727.36x = 457,385.88 × 147,066.80
  4. Step 4: Simplify right side
    304,727.36x = 67,266,277,736.78
  5. Step 5: Solve for x
    x = 67,266,277,736.78/304,727.36
  6. Step 6: Final answer
    x = 220,742.49

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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.