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Finding the Fourth Proportional to 407,166.48, 610,752.96 and 167,218.56

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Solution

The fourth proportional to 407,166.48, 610,752.96 and 167,218.56 is: 250,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,166.48 : 610,752.96 = 167,218.56 : x
  2. Step 2: Convert to fraction form
    407,166.48/610,752.96 = 167,218.56/x
  3. Step 3: Cross multiply
    407,166.48x = 610,752.96 × 167,218.56
  4. Step 4: Simplify right side
    407,166.48x = 102,129,230,486.94
  5. Step 5: Solve for x
    x = 102,129,230,486.94/407,166.48
  6. Step 6: Final answer
    x = 250,829.17

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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.