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Finding the Fourth Proportional to 469,104.48, 703,743.24 and 153,578.88

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Solution

The fourth proportional to 469,104.48, 703,743.24 and 153,578.88 is: 230,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,104.48 : 703,743.24 = 153,578.88 : x
  2. Step 2: Convert to fraction form
    469,104.48/703,743.24 = 153,578.88/x
  3. Step 3: Cross multiply
    469,104.48x = 703,743.24 × 153,578.88
  4. Step 4: Simplify right side
    469,104.48x = 108,080,098,606.77
  5. Step 5: Solve for x
    x = 108,080,098,606.77/469,104.48
  6. Step 6: Final answer
    x = 230,396.65

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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.