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Finding the Fourth Proportional to 471,953.61, 707,456.37 and 151,870.23

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Solution

The fourth proportional to 471,953.61, 707,456.37 and 151,870.23 is: 227,652.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,953.61 : 707,456.37 = 151,870.23 : x
  2. Step 2: Convert to fraction form
    471,953.61/707,456.37 = 151,870.23/x
  3. Step 3: Cross multiply
    471,953.61x = 707,456.37 × 151,870.23
  4. Step 4: Simplify right side
    471,953.61x = 107,441,558,469.26
  5. Step 5: Solve for x
    x = 107,441,558,469.26/471,953.61
  6. Step 6: Final answer
    x = 227,652.80

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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.