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Finding the Fourth Proportional to 319,317.59, 440,493.36 and 198,412.94

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Solution

The fourth proportional to 319,317.59, 440,493.36 and 198,412.94 is: 273,707.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,317.59 : 440,493.36 = 198,412.94 : x
  2. Step 2: Convert to fraction form
    319,317.59/440,493.36 = 198,412.94/x
  3. Step 3: Cross multiply
    319,317.59x = 440,493.36 × 198,412.94
  4. Step 4: Simplify right side
    319,317.59x = 87,399,580,405.61
  5. Step 5: Solve for x
    x = 87,399,580,405.61/319,317.59
  6. Step 6: Final answer
    x = 273,707.38

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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.