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Finding the Fourth Proportional to 301,657.46, 416,275.89 and 167,530.10

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Solution

The fourth proportional to 301,657.46, 416,275.89 and 167,530.10 is: 231,185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,657.46 : 416,275.89 = 167,530.10 : x
  2. Step 2: Convert to fraction form
    301,657.46/416,275.89 = 167,530.10/x
  3. Step 3: Cross multiply
    301,657.46x = 416,275.89 × 167,530.10
  4. Step 4: Simplify right side
    301,657.46x = 69,738,741,479.29
  5. Step 5: Solve for x
    x = 69,738,741,479.29/301,657.46
  6. Step 6: Final answer
    x = 231,185.20

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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.