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Finding the Fourth Proportional to 473,102.25, 709,663.45 and 169,516.24

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Solution

The fourth proportional to 473,102.25, 709,663.45 and 169,516.24 is: 254,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,102.25 : 709,663.45 = 169,516.24 : x
  2. Step 2: Convert to fraction form
    473,102.25/709,663.45 = 169,516.24/x
  3. Step 3: Cross multiply
    473,102.25x = 709,663.45 × 169,516.24
  4. Step 4: Simplify right side
    473,102.25x = 120,299,476,161.11
  5. Step 5: Solve for x
    x = 120,299,476,161.11/473,102.25
  6. Step 6: Final answer
    x = 254,277.97

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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.