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Finding the Fourth Proportional to 295,147.65, 407,301.85 and 167,823.23

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Solution

The fourth proportional to 295,147.65, 407,301.85 and 167,823.23 is: 231,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,147.65 : 407,301.85 = 167,823.23 : x
  2. Step 2: Convert to fraction form
    295,147.65/407,301.85 = 167,823.23/x
  3. Step 3: Cross multiply
    295,147.65x = 407,301.85 × 167,823.23
  4. Step 4: Simplify right side
    295,147.65x = 68,354,712,051.98
  5. Step 5: Solve for x
    x = 68,354,712,051.98/295,147.65
  6. Step 6: Final answer
    x = 231,594.97

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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.