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Finding the Fourth Proportional to 299,641.83, 413,489.91 and 163,673.81

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Solution

The fourth proportional to 299,641.83, 413,489.91 and 163,673.81 is: 225,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,641.83 : 413,489.91 = 163,673.81 : x
  2. Step 2: Convert to fraction form
    299,641.83/413,489.91 = 163,673.81/x
  3. Step 3: Cross multiply
    299,641.83x = 413,489.91 × 163,673.81
  4. Step 4: Simplify right side
    299,641.83x = 67,677,471,389.05
  5. Step 5: Solve for x
    x = 67,677,471,389.05/299,641.83
  6. Step 6: Final answer
    x = 225,861.23

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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.