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Finding the Fourth Proportional to 399,644.64, 551,503.16 and 218,352.68

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Solution

The fourth proportional to 399,644.64, 551,503.16 and 218,352.68 is: 301,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,644.64 : 551,503.16 = 218,352.68 : x
  2. Step 2: Convert to fraction form
    399,644.64/551,503.16 = 218,352.68/x
  3. Step 3: Cross multiply
    399,644.64x = 551,503.16 × 218,352.68
  4. Step 4: Simplify right side
    399,644.64x = 120,422,193,014.47
  5. Step 5: Solve for x
    x = 120,422,193,014.47/399,644.64
  6. Step 6: Final answer
    x = 301,323.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.