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Finding the Fourth Proportional to 484,710.60, 727,098.30 and 164,857.80

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Solution

The fourth proportional to 484,710.60, 727,098.30 and 164,857.80 is: 247,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,710.60 : 727,098.30 = 164,857.80 : x
  2. Step 2: Convert to fraction form
    484,710.60/727,098.30 = 164,857.80/x
  3. Step 3: Cross multiply
    484,710.60x = 727,098.30 × 164,857.80
  4. Step 4: Simplify right side
    484,710.60x = 119,867,826,121.74
  5. Step 5: Solve for x
    x = 119,867,826,121.74/484,710.60
  6. Step 6: Final answer
    x = 247,297.72

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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.