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Finding the Fourth Proportional to 399,704.86, 551,594.17 and 218,416.81

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Solution

The fourth proportional to 399,704.86, 551,594.17 and 218,416.81 is: 301,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,704.86 : 551,594.17 = 218,416.81 : x
  2. Step 2: Convert to fraction form
    399,704.86/551,594.17 = 218,416.81/x
  3. Step 3: Cross multiply
    399,704.86x = 551,594.17 × 218,416.81
  4. Step 4: Simplify right side
    399,704.86x = 120,477,439,026.00
  5. Step 5: Solve for x
    x = 120,477,439,026.00/399,704.86
  6. Step 6: Final answer
    x = 301,416.00

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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.