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Finding the Fourth Proportional to 326,193.95, 489,304.77 and 101,558.64

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Solution

The fourth proportional to 326,193.95, 489,304.77 and 101,558.64 is: 152,342.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,193.95 : 489,304.77 = 101,558.64 : x
  2. Step 2: Convert to fraction form
    326,193.95/489,304.77 = 101,558.64/x
  3. Step 3: Cross multiply
    326,193.95x = 489,304.77 × 101,558.64
  4. Step 4: Simplify right side
    326,193.95x = 49,693,126,732.82
  5. Step 5: Solve for x
    x = 49,693,126,732.82/326,193.95
  6. Step 6: Final answer
    x = 152,342.27

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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.