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Finding the Fourth Proportional to 484,706.60, 727,092.30 and 164,853.80

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Solution

The fourth proportional to 484,706.60, 727,092.30 and 164,853.80 is: 247,291.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,706.60 : 727,092.30 = 164,853.80 : x
  2. Step 2: Convert to fraction form
    484,706.60/727,092.30 = 164,853.80/x
  3. Step 3: Cross multiply
    484,706.60x = 727,092.30 × 164,853.80
  4. Step 4: Simplify right side
    484,706.60x = 119,863,928,605.74
  5. Step 5: Solve for x
    x = 119,863,928,605.74/484,706.60
  6. Step 6: Final answer
    x = 247,291.72

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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.