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Finding the Fourth Proportional to 471,952.73, 707,455.06 and 151,869.35

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Solution

The fourth proportional to 471,952.73, 707,455.06 and 151,869.35 is: 227,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,952.73 : 707,455.06 = 151,869.35 : x
  2. Step 2: Convert to fraction form
    471,952.73/707,455.06 = 151,869.35/x
  3. Step 3: Cross multiply
    471,952.73x = 707,455.06 × 151,869.35
  4. Step 4: Simplify right side
    471,952.73x = 107,440,740,496.08
  5. Step 5: Solve for x
    x = 107,440,740,496.08/471,952.73
  6. Step 6: Final answer
    x = 227,651.49

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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.