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Finding the Fourth Proportional to 484,702.60, 727,086.30 and 164,849.80

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Solution

The fourth proportional to 484,702.60, 727,086.30 and 164,849.80 is: 247,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,702.60 : 727,086.30 = 164,849.80 : x
  2. Step 2: Convert to fraction form
    484,702.60/727,086.30 = 164,849.80/x
  3. Step 3: Cross multiply
    484,702.60x = 727,086.30 × 164,849.80
  4. Step 4: Simplify right side
    484,702.60x = 119,860,031,137.74
  5. Step 5: Solve for x
    x = 119,860,031,137.74/484,702.60
  6. Step 6: Final answer
    x = 247,285.72

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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.