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Finding the Fourth Proportional to 463,902.39, 695,745.05 and 261,585.86

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Solution

The fourth proportional to 463,902.39, 695,745.05 and 261,585.86 is: 392,317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,902.39 : 695,745.05 = 261,585.86 : x
  2. Step 2: Convert to fraction form
    463,902.39/695,745.05 = 261,585.86/x
  3. Step 3: Cross multiply
    463,902.39x = 695,745.05 × 261,585.86
  4. Step 4: Simplify right side
    463,902.39x = 181,997,062,458.34
  5. Step 5: Solve for x
    x = 181,997,062,458.34/463,902.39
  6. Step 6: Final answer
    x = 392,317.58

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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.