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Finding the Fourth Proportional to 298,970.40, 448,232.40 and 180,616.80

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Solution

The fourth proportional to 298,970.40, 448,232.40 and 180,616.80 is: 270,790.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,970.40 : 448,232.40 = 180,616.80 : x
  2. Step 2: Convert to fraction form
    298,970.40/448,232.40 = 180,616.80/x
  3. Step 3: Cross multiply
    298,970.40x = 448,232.40 × 180,616.80
  4. Step 4: Simplify right side
    298,970.40x = 80,958,301,744.32
  5. Step 5: Solve for x
    x = 80,958,301,744.32/298,970.40
  6. Step 6: Final answer
    x = 270,790.36

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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.