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Finding the Fourth Proportional to 329,548.80, 494,323.20 and 187,831.20

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Solution

The fourth proportional to 329,548.80, 494,323.20 and 187,831.20 is: 281,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,548.80 : 494,323.20 = 187,831.20 : x
  2. Step 2: Convert to fraction form
    329,548.80/494,323.20 = 187,831.20/x
  3. Step 3: Cross multiply
    329,548.80x = 494,323.20 × 187,831.20
  4. Step 4: Simplify right side
    329,548.80x = 92,849,319,843.84
  5. Step 5: Solve for x
    x = 92,849,319,843.84/329,548.80
  6. Step 6: Final answer
    x = 281,746.80

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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.