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Finding the Fourth Proportional to 515,905.31, 711,949.32 and 289,550.81

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Solution

The fourth proportional to 515,905.31, 711,949.32 and 289,550.81 is: 399,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,905.31 : 711,949.32 = 289,550.81 : x
  2. Step 2: Convert to fraction form
    515,905.31/711,949.32 = 289,550.81/x
  3. Step 3: Cross multiply
    515,905.31x = 711,949.32 × 289,550.81
  4. Step 4: Simplify right side
    515,905.31x = 206,145,502,284.95
  5. Step 5: Solve for x
    x = 206,145,502,284.95/515,905.31
  6. Step 6: Final answer
    x = 399,580.11

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