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Finding the Fourth Proportional to 309,564.24, 464,553.48 and 112,572.24

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Solution

The fourth proportional to 309,564.24, 464,553.48 and 112,572.24 is: 168,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,564.24 : 464,553.48 = 112,572.24 : x
  2. Step 2: Convert to fraction form
    309,564.24/464,553.48 = 112,572.24/x
  3. Step 3: Cross multiply
    309,564.24x = 464,553.48 × 112,572.24
  4. Step 4: Simplify right side
    309,564.24x = 52,295,825,843.40
  5. Step 5: Solve for x
    x = 52,295,825,843.40/309,564.24
  6. Step 6: Final answer
    x = 168,933.68

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1.5x scale

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.