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Finding the Fourth Proportional to 299,582.60, 448,790.70 and 166,224.20

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Solution

The fourth proportional to 299,582.60, 448,790.70 and 166,224.20 is: 249,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,582.60 : 448,790.70 = 166,224.20 : x
  2. Step 2: Convert to fraction form
    299,582.60/448,790.70 = 166,224.20/x
  3. Step 3: Cross multiply
    299,582.60x = 448,790.70 × 166,224.20
  4. Step 4: Simplify right side
    299,582.60x = 74,599,875,074.94
  5. Step 5: Solve for x
    x = 74,599,875,074.94/299,582.60
  6. Step 6: Final answer
    x = 249,012.71

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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.