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Finding the Fourth Proportional to 471,883.43, 707,658.39 and 152,022.40

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Solution

The fourth proportional to 471,883.43, 707,658.39 and 152,022.40 is: 227,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,883.43 : 707,658.39 = 152,022.40 : x
  2. Step 2: Convert to fraction form
    471,883.43/707,658.39 = 152,022.40/x
  3. Step 3: Cross multiply
    471,883.43x = 707,658.39 × 152,022.40
  4. Step 4: Simplify right side
    471,883.43x = 107,579,926,827.94
  5. Step 5: Solve for x
    x = 107,579,926,827.94/471,883.43
  6. Step 6: Final answer
    x = 227,979.88

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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.