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Finding the Fourth Proportional to 318,462.15, 477,693.23 and 81,805.06

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Solution

The fourth proportional to 318,462.15, 477,693.23 and 81,805.06 is: 122,707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,462.15 : 477,693.23 = 81,805.06 : x
  2. Step 2: Convert to fraction form
    318,462.15/477,693.23 = 81,805.06/x
  3. Step 3: Cross multiply
    318,462.15x = 477,693.23 × 81,805.06
  4. Step 4: Simplify right side
    318,462.15x = 39,077,723,341.74
  5. Step 5: Solve for x
    x = 39,077,723,341.74/318,462.15
  6. Step 6: Final answer
    x = 122,707.59

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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.