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Finding the Fourth Proportional to 299,672.10, 413,552.12 and 163,705.10

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Solution

The fourth proportional to 299,672.10, 413,552.12 and 163,705.10 is: 225,915.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,672.10 : 413,552.12 = 163,705.10 : x
  2. Step 2: Convert to fraction form
    299,672.10/413,552.12 = 163,705.10/x
  3. Step 3: Cross multiply
    299,672.10x = 413,552.12 × 163,705.10
  4. Step 4: Simplify right side
    299,672.10x = 67,700,588,273.53
  5. Step 5: Solve for x
    x = 67,700,588,273.53/299,672.10
  6. Step 6: Final answer
    x = 225,915.55

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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.