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Finding the Fourth Proportional to 417,403.31, 626,129.82 and 161,237.84

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Solution

The fourth proportional to 417,403.31, 626,129.82 and 161,237.84 is: 241,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,403.31 : 626,129.82 = 161,237.84 : x
  2. Step 2: Convert to fraction form
    417,403.31/626,129.82 = 161,237.84/x
  3. Step 3: Cross multiply
    417,403.31x = 626,129.82 × 161,237.84
  4. Step 4: Simplify right side
    417,403.31x = 100,955,816,605.74
  5. Step 5: Solve for x
    x = 100,955,816,605.74/417,403.31
  6. Step 6: Final answer
    x = 241,866.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.