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Finding the Fourth Proportional to 299,501.52, 413,308.92 and 163,535.04

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Solution

The fourth proportional to 299,501.52, 413,308.92 and 163,535.04 is: 225,676.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,501.52 : 413,308.92 = 163,535.04 : x
  2. Step 2: Convert to fraction form
    299,501.52/413,308.92 = 163,535.04/x
  3. Step 3: Cross multiply
    299,501.52x = 413,308.92 × 163,535.04
  4. Step 4: Simplify right side
    299,501.52x = 67,590,490,764.56
  5. Step 5: Solve for x
    x = 67,590,490,764.56/299,501.52
  6. Step 6: Final answer
    x = 225,676.62

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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.