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Finding the Fourth Proportional to 489,820.40, 733,823.40 and 278,831.60

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Solution

The fourth proportional to 489,820.40, 733,823.40 and 278,831.60 is: 417,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,820.40 : 733,823.40 = 278,831.60 : x
  2. Step 2: Convert to fraction form
    489,820.40/733,823.40 = 278,831.60/x
  3. Step 3: Cross multiply
    489,820.40x = 733,823.40 × 278,831.60
  4. Step 4: Simplify right side
    489,820.40x = 204,613,152,739.44
  5. Step 5: Solve for x
    x = 204,613,152,739.44/489,820.40
  6. Step 6: Final answer
    x = 417,730.97

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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.