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Finding the Fourth Proportional to 300,964.62, 415,373.45 and 186,280.02

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Solution

The fourth proportional to 300,964.62, 415,373.45 and 186,280.02 is: 257,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,964.62 : 415,373.45 = 186,280.02 : x
  2. Step 2: Convert to fraction form
    300,964.62/415,373.45 = 186,280.02/x
  3. Step 3: Cross multiply
    300,964.62x = 415,373.45 × 186,280.02
  4. Step 4: Simplify right side
    300,964.62x = 77,375,773,642.07
  5. Step 5: Solve for x
    x = 77,375,773,642.07/300,964.62
  6. Step 6: Final answer
    x = 257,092.59

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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.