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Finding the Fourth Proportional to 407,046.69, 610,599.26 and 107,524.35

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Solution

The fourth proportional to 407,046.69, 610,599.26 and 107,524.35 is: 161,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,046.69 : 610,599.26 = 107,524.35 : x
  2. Step 2: Convert to fraction form
    407,046.69/610,599.26 = 107,524.35/x
  3. Step 3: Cross multiply
    407,046.69x = 610,599.26 × 107,524.35
  4. Step 4: Simplify right side
    407,046.69x = 65,654,288,810.79
  5. Step 5: Solve for x
    x = 65,654,288,810.79/407,046.69
  6. Step 6: Final answer
    x = 161,294.25

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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.