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Finding the Fourth Proportional to 262,446.73, 393,843.84 and 144,200.50

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Solution

The fourth proportional to 262,446.73, 393,843.84 and 144,200.50 is: 216,396.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,446.73 : 393,843.84 = 144,200.50 : x
  2. Step 2: Convert to fraction form
    262,446.73/393,843.84 = 144,200.50/x
  3. Step 3: Cross multiply
    262,446.73x = 393,843.84 × 144,200.50
  4. Step 4: Simplify right side
    262,446.73x = 56,792,478,649.92
  5. Step 5: Solve for x
    x = 56,792,478,649.92/262,446.73
  6. Step 6: Final answer
    x = 216,396.21

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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.