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Finding the Fourth Proportional to 407,098.65, 610,674.12 and 107,571.58

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Solution

The fourth proportional to 407,098.65, 610,674.12 and 107,571.58 is: 161,364.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,098.65 : 610,674.12 = 107,571.58 : x
  2. Step 2: Convert to fraction form
    407,098.65/610,674.12 = 107,571.58/x
  3. Step 3: Cross multiply
    407,098.65x = 610,674.12 × 107,571.58
  4. Step 4: Simplify right side
    407,098.65x = 65,691,178,426.82
  5. Step 5: Solve for x
    x = 65,691,178,426.82/407,098.65
  6. Step 6: Final answer
    x = 161,364.27

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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.