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Finding the Fourth Proportional to 407,325.70, 610,743.12 and 182,645.47

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Solution

The fourth proportional to 407,325.70, 610,743.12 and 182,645.47 is: 273,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,325.70 : 610,743.12 = 182,645.47 : x
  2. Step 2: Convert to fraction form
    407,325.70/610,743.12 = 182,645.47/x
  3. Step 3: Cross multiply
    407,325.70x = 610,743.12 × 182,645.47
  4. Step 4: Simplify right side
    407,325.70x = 111,549,464,201.67
  5. Step 5: Solve for x
    x = 111,549,464,201.67/407,325.70
  6. Step 6: Final answer
    x = 273,858.15

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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.