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Finding the Fourth Proportional to 307,775.86, 461,704.32 and 115,713.52

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Solution

The fourth proportional to 307,775.86, 461,704.32 and 115,713.52 is: 173,585.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,775.86 : 461,704.32 = 115,713.52 : x
  2. Step 2: Convert to fraction form
    307,775.86/461,704.32 = 115,713.52/x
  3. Step 3: Cross multiply
    307,775.86x = 461,704.32 × 115,713.52
  4. Step 4: Simplify right side
    307,775.86x = 53,425,432,066.41
  5. Step 5: Solve for x
    x = 53,425,432,066.41/307,775.86
  6. Step 6: Final answer
    x = 173,585.52

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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.