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Finding the Fourth Proportional to 299,025.76, 412,652.28 and 163,059.24

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Solution

The fourth proportional to 299,025.76, 412,652.28 and 163,059.24 is: 225,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,025.76 : 412,652.28 = 163,059.24 : x
  2. Step 2: Convert to fraction form
    299,025.76/412,652.28 = 163,059.24/x
  3. Step 3: Cross multiply
    299,025.76x = 412,652.28 × 163,059.24
  4. Step 4: Simplify right side
    299,025.76x = 67,286,767,161.07
  5. Step 5: Solve for x
    x = 67,286,767,161.07/299,025.76
  6. Step 6: Final answer
    x = 225,019.97

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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.