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Finding the Fourth Proportional to 299,498.54, 413,316.48 and 163,541.12

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Solution

The fourth proportional to 299,498.54, 413,316.48 and 163,541.12 is: 225,691.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,498.54 : 413,316.48 = 163,541.12 : x
  2. Step 2: Convert to fraction form
    299,498.54/413,316.48 = 163,541.12/x
  3. Step 3: Cross multiply
    299,498.54x = 413,316.48 × 163,541.12
  4. Step 4: Simplify right side
    299,498.54x = 67,594,237,987.08
  5. Step 5: Solve for x
    x = 67,594,237,987.08/299,498.54
  6. Step 6: Final answer
    x = 225,691.38

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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.