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Finding the Fourth Proportional to 435,991.70, 654,009.15 and 226,039.70

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Solution

The fourth proportional to 435,991.70, 654,009.15 and 226,039.70 is: 339,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,991.70 : 654,009.15 = 226,039.70 : x
  2. Step 2: Convert to fraction form
    435,991.70/654,009.15 = 226,039.70/x
  3. Step 3: Cross multiply
    435,991.70x = 654,009.15 × 226,039.70
  4. Step 4: Simplify right side
    435,991.70x = 147,832,032,063.26
  5. Step 5: Solve for x
    x = 147,832,032,063.26/435,991.70
  6. Step 6: Final answer
    x = 339,070.75

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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.