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Finding the Fourth Proportional to 300,696.16, 414,960.72 and 164,734.96

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Solution

The fourth proportional to 300,696.16, 414,960.72 and 164,734.96 is: 227,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,696.16 : 414,960.72 = 164,734.96 : x
  2. Step 2: Convert to fraction form
    300,696.16/414,960.72 = 164,734.96/x
  3. Step 3: Cross multiply
    300,696.16x = 414,960.72 × 164,734.96
  4. Step 4: Simplify right side
    300,696.16x = 68,358,537,610.77
  5. Step 5: Solve for x
    x = 68,358,537,610.77/300,696.16
  6. Step 6: Final answer
    x = 227,334.26

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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.