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Finding the Fourth Proportional to 272,894.20, 409,341.30 and 198,536.20

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Solution

The fourth proportional to 272,894.20, 409,341.30 and 198,536.20 is: 297,804.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,894.20 : 409,341.30 = 198,536.20 : x
  2. Step 2: Convert to fraction form
    272,894.20/409,341.30 = 198,536.20/x
  3. Step 3: Cross multiply
    272,894.20x = 409,341.30 × 198,536.20
  4. Step 4: Simplify right side
    272,894.20x = 81,269,066,205.06
  5. Step 5: Solve for x
    x = 81,269,066,205.06/272,894.20
  6. Step 6: Final answer
    x = 297,804.30

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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.