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Finding the Fourth Proportional to 298,894.47, 448,244.19 and 99,161.24

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Solution

The fourth proportional to 298,894.47, 448,244.19 and 99,161.24 is: 148,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,894.47 : 448,244.19 = 99,161.24 : x
  2. Step 2: Convert to fraction form
    298,894.47/448,244.19 = 99,161.24/x
  3. Step 3: Cross multiply
    298,894.47x = 448,244.19 × 99,161.24
  4. Step 4: Simplify right side
    298,894.47x = 44,448,447,461.97
  5. Step 5: Solve for x
    x = 44,448,447,461.97/298,894.47
  6. Step 6: Final answer
    x = 148,709.50

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1.5x scale

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.