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Finding the Fourth Proportional to 293,707.59, 405,315.99 and 178,986.06

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Solution

The fourth proportional to 293,707.59, 405,315.99 and 178,986.06 is: 247,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,707.59 : 405,315.99 = 178,986.06 : x
  2. Step 2: Convert to fraction form
    293,707.59/405,315.99 = 178,986.06/x
  3. Step 3: Cross multiply
    293,707.59x = 405,315.99 × 178,986.06
  4. Step 4: Simplify right side
    293,707.59x = 72,545,912,105.10
  5. Step 5: Solve for x
    x = 72,545,912,105.10/293,707.59
  6. Step 6: Final answer
    x = 247,000.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.