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Finding the Fourth Proportional to 300,513.06, 414,706.50 and 164,544.54

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Solution

The fourth proportional to 300,513.06, 414,706.50 and 164,544.54 is: 227,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,513.06 : 414,706.50 = 164,544.54 : x
  2. Step 2: Convert to fraction form
    300,513.06/414,706.50 = 164,544.54/x
  3. Step 3: Cross multiply
    300,513.06x = 414,706.50 × 164,544.54
  4. Step 4: Simplify right side
    300,513.06x = 68,237,690,277.51
  5. Step 5: Solve for x
    x = 68,237,690,277.51/300,513.06
  6. Step 6: Final answer
    x = 227,070.63

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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.