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Finding the Fourth Proportional to 454,802.66, 682,272.07 and 146,951.72

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Solution

The fourth proportional to 454,802.66, 682,272.07 and 146,951.72 is: 220,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,802.66 : 682,272.07 = 146,951.72 : x
  2. Step 2: Convert to fraction form
    454,802.66/682,272.07 = 146,951.72/x
  3. Step 3: Cross multiply
    454,802.66x = 682,272.07 × 146,951.72
  4. Step 4: Simplify right side
    454,802.66x = 100,261,050,415.72
  5. Step 5: Solve for x
    x = 100,261,050,415.72/454,802.66
  6. Step 6: Final answer
    x = 220,449.57

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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.