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Finding the Fourth Proportional to 298,814.40, 448,513.20 and 149,223.60

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Solution

The fourth proportional to 298,814.40, 448,513.20 and 149,223.60 is: 223,981.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,814.40 : 448,513.20 = 149,223.60 : x
  2. Step 2: Convert to fraction form
    298,814.40/448,513.20 = 149,223.60/x
  3. Step 3: Cross multiply
    298,814.40x = 448,513.20 × 149,223.60
  4. Step 4: Simplify right side
    298,814.40x = 66,928,754,351.52
  5. Step 5: Solve for x
    x = 66,928,754,351.52/298,814.40
  6. Step 6: Final answer
    x = 223,981.02

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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.