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Finding the Fourth Proportional to 299,214.68, 412,777.20 and 178,288.16

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Solution

The fourth proportional to 299,214.68, 412,777.20 and 178,288.16 is: 245,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,214.68 : 412,777.20 = 178,288.16 : x
  2. Step 2: Convert to fraction form
    299,214.68/412,777.20 = 178,288.16/x
  3. Step 3: Cross multiply
    299,214.68x = 412,777.20 × 178,288.16
  4. Step 4: Simplify right side
    299,214.68x = 73,593,287,477.95
  5. Step 5: Solve for x
    x = 73,593,287,477.95/299,214.68
  6. Step 6: Final answer
    x = 245,954.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.