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Finding the Fourth Proportional to 515,817.74, 711,879.64 and 289,464.14

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Solution

The fourth proportional to 515,817.74, 711,879.64 and 289,464.14 is: 399,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,817.74 : 711,879.64 = 289,464.14 : x
  2. Step 2: Convert to fraction form
    515,817.74/711,879.64 = 289,464.14/x
  3. Step 3: Cross multiply
    515,817.74x = 711,879.64 × 289,464.14
  4. Step 4: Simplify right side
    515,817.74x = 206,063,627,776.11
  5. Step 5: Solve for x
    x = 206,063,627,776.11/515,817.74
  6. Step 6: Final answer
    x = 399,489.22

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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.