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Finding the Fourth Proportional to 299,915.38, 413,887.08 and 163,947.16

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Solution

The fourth proportional to 299,915.38, 413,887.08 and 163,947.16 is: 226,249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,915.38 : 413,887.08 = 163,947.16 : x
  2. Step 2: Convert to fraction form
    299,915.38/413,887.08 = 163,947.16/x
  3. Step 3: Cross multiply
    299,915.38x = 413,887.08 × 163,947.16
  4. Step 4: Simplify right side
    299,915.38x = 67,855,611,326.69
  5. Step 5: Solve for x
    x = 67,855,611,326.69/299,915.38
  6. Step 6: Final answer
    x = 226,249.19

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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.