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Finding the Fourth Proportional to 295,084.91, 407,217.17 and 167,760.51

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Solution

The fourth proportional to 295,084.91, 407,217.17 and 167,760.51 is: 231,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,084.91 : 407,217.17 = 167,760.51 : x
  2. Step 2: Convert to fraction form
    295,084.91/407,217.17 = 167,760.51/x
  3. Step 3: Cross multiply
    295,084.91x = 407,217.17 × 167,760.51
  4. Step 4: Simplify right side
    295,084.91x = 68,314,960,119.96
  5. Step 5: Solve for x
    x = 68,314,960,119.96/295,084.91
  6. Step 6: Final answer
    x = 231,509.50

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1.5x scale

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.