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Finding the Fourth Proportional to 399,707.46, 551,597.73 and 218,419.38

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Solution

The fourth proportional to 399,707.46, 551,597.73 and 218,419.38 is: 301,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,707.46 : 551,597.73 = 218,419.38 : x
  2. Step 2: Convert to fraction form
    399,707.46/551,597.73 = 218,419.38/x
  3. Step 3: Cross multiply
    399,707.46x = 551,597.73 × 218,419.38
  4. Step 4: Simplify right side
    399,707.46x = 120,479,634,196.01
  5. Step 5: Solve for x
    x = 120,479,634,196.01/399,707.46
  6. Step 6: Final answer
    x = 301,419.53

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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.