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Finding the Fourth Proportional to 484,813.82, 727,165.10 and 185,287.74

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Solution

The fourth proportional to 484,813.82, 727,165.10 and 185,287.74 is: 277,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,813.82 : 727,165.10 = 185,287.74 : x
  2. Step 2: Convert to fraction form
    484,813.82/727,165.10 = 185,287.74/x
  3. Step 3: Cross multiply
    484,813.82x = 727,165.10 × 185,287.74
  4. Step 4: Simplify right side
    484,813.82x = 134,734,777,985.87
  5. Step 5: Solve for x
    x = 134,734,777,985.87/484,813.82
  6. Step 6: Final answer
    x = 277,910.35

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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.