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Finding the Fourth Proportional to 299,603.92, 413,456.60 and 163,641.84

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Solution

The fourth proportional to 299,603.92, 413,456.60 and 163,641.84 is: 225,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,603.92 : 413,456.60 = 163,641.84 : x
  2. Step 2: Convert to fraction form
    299,603.92/413,456.60 = 163,641.84/x
  3. Step 3: Cross multiply
    299,603.92x = 413,456.60 × 163,641.84
  4. Step 4: Simplify right side
    299,603.92x = 67,658,798,784.14
  5. Step 5: Solve for x
    x = 67,658,798,784.14/299,603.92
  6. Step 6: Final answer
    x = 225,827.48

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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.