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Finding the Fourth Proportional to 272,838.80, 409,258.20 and 262,341.20

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Solution

The fourth proportional to 272,838.80, 409,258.20 and 262,341.20 is: 393,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,838.80 : 409,258.20 = 262,341.20 : x
  2. Step 2: Convert to fraction form
    272,838.80/409,258.20 = 262,341.20/x
  3. Step 3: Cross multiply
    272,838.80x = 409,258.20 × 262,341.20
  4. Step 4: Simplify right side
    272,838.80x = 107,365,287,297.84
  5. Step 5: Solve for x
    x = 107,365,287,297.84/272,838.80
  6. Step 6: Final answer
    x = 393,511.80

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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.