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Finding the Fourth Proportional to 489,262.86, 733,967.25 and 173,693.34

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Solution

The fourth proportional to 489,262.86, 733,967.25 and 173,693.34 is: 260,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,262.86 : 733,967.25 = 173,693.34 : x
  2. Step 2: Convert to fraction form
    489,262.86/733,967.25 = 173,693.34/x
  3. Step 3: Cross multiply
    489,262.86x = 733,967.25 × 173,693.34
  4. Step 4: Simplify right side
    489,262.86x = 127,485,223,103.12
  5. Step 5: Solve for x
    x = 127,485,223,103.12/489,262.86
  6. Step 6: Final answer
    x = 260,565.91

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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.