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Finding the Fourth Proportional to 299,302.52, 413,039.90 and 163,337.56

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Solution

The fourth proportional to 299,302.52, 413,039.90 and 163,337.56 is: 225,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,302.52 : 413,039.90 = 163,337.56 : x
  2. Step 2: Convert to fraction form
    299,302.52/413,039.90 = 163,337.56/x
  3. Step 3: Cross multiply
    299,302.52x = 413,039.90 × 163,337.56
  4. Step 4: Simplify right side
    299,302.52x = 67,464,929,448.64
  5. Step 5: Solve for x
    x = 67,464,929,448.64/299,302.52
  6. Step 6: Final answer
    x = 225,407.15

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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.