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Finding the Fourth Proportional to 542,906.33, 814,365.77 and 163,830.35

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Solution

The fourth proportional to 542,906.33, 814,365.77 and 163,830.35 is: 245,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,906.33 : 814,365.77 = 163,830.35 : x
  2. Step 2: Convert to fraction form
    542,906.33/814,365.77 = 163,830.35/x
  3. Step 3: Cross multiply
    542,906.33x = 814,365.77 × 163,830.35
  4. Step 4: Simplify right side
    542,906.33x = 133,417,827,904.37
  5. Step 5: Solve for x
    x = 133,417,827,904.37/542,906.33
  6. Step 6: Final answer
    x = 245,747.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.