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Finding the Fourth Proportional to 551,568.60, 827,254.26 and 146,763

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Solution

The fourth proportional to 551,568.60, 827,254.26 and 146,763 is: 220,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,568.60 : 827,254.26 = 146,763 : x
  2. Step 2: Convert to fraction form
    551,568.60/827,254.26 = 146,763/x
  3. Step 3: Cross multiply
    551,568.60x = 827,254.26 × 146,763
  4. Step 4: Simplify right side
    551,568.60x = 121,410,316,960.38
  5. Step 5: Solve for x
    x = 121,410,316,960.38/551,568.60
  6. Step 6: Final answer
    x = 220,118.25

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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.