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Finding the Fourth Proportional to 299,480.98, 413,284.60 and 163,516.10

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Solution

The fourth proportional to 299,480.98, 413,284.60 and 163,516.10 is: 225,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,480.98 : 413,284.60 = 163,516.10 : x
  2. Step 2: Convert to fraction form
    299,480.98/413,284.60 = 163,516.10/x
  3. Step 3: Cross multiply
    299,480.98x = 413,284.60 × 163,516.10
  4. Step 4: Simplify right side
    299,480.98x = 67,578,685,982.06
  5. Step 5: Solve for x
    x = 67,578,685,982.06/299,480.98
  6. Step 6: Final answer
    x = 225,652.68

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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.