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Finding the Fourth Proportional to 389,503.74, 584,282.25 and 229,813.05

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Solution

The fourth proportional to 389,503.74, 584,282.25 and 229,813.05 is: 344,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,503.74 : 584,282.25 = 229,813.05 : x
  2. Step 2: Convert to fraction form
    389,503.74/584,282.25 = 229,813.05/x
  3. Step 3: Cross multiply
    389,503.74x = 584,282.25 × 229,813.05
  4. Step 4: Simplify right side
    389,503.74x = 134,275,685,933.36
  5. Step 5: Solve for x
    x = 134,275,685,933.36/389,503.74
  6. Step 6: Final answer
    x = 344,735.29

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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.