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Finding the Fourth Proportional to 299,500.96, 413,312.22 and 163,536.10

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Solution

The fourth proportional to 299,500.96, 413,312.22 and 163,536.10 is: 225,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,500.96 : 413,312.22 = 163,536.10 : x
  2. Step 2: Convert to fraction form
    299,500.96/413,312.22 = 163,536.10/x
  3. Step 3: Cross multiply
    299,500.96x = 413,312.22 × 163,536.10
  4. Step 4: Simplify right side
    299,500.96x = 67,591,468,541.14
  5. Step 5: Solve for x
    x = 67,591,468,541.14/299,500.96
  6. Step 6: Final answer
    x = 225,680.31

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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.