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Finding the Fourth Proportional to 407,029.96, 610,574.10 and 107,507.55

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Solution

The fourth proportional to 407,029.96, 610,574.10 and 107,507.55 is: 161,269.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,029.96 : 610,574.10 = 107,507.55 : x
  2. Step 2: Convert to fraction form
    407,029.96/610,574.10 = 107,507.55/x
  3. Step 3: Cross multiply
    407,029.96x = 610,574.10 × 107,507.55
  4. Step 4: Simplify right side
    407,029.96x = 65,641,325,046.92
  5. Step 5: Solve for x
    x = 65,641,325,046.92/407,029.96
  6. Step 6: Final answer
    x = 161,269.03

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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.