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Finding the Fourth Proportional to 300,274.68, 414,376.88 and 164,306.04

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Solution

The fourth proportional to 300,274.68, 414,376.88 and 164,306.04 is: 226,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,274.68 : 414,376.88 = 164,306.04 : x
  2. Step 2: Convert to fraction form
    300,274.68/414,376.88 = 164,306.04/x
  3. Step 3: Cross multiply
    300,274.68x = 414,376.88 × 164,306.04
  4. Step 4: Simplify right side
    300,274.68x = 68,084,624,220.36
  5. Step 5: Solve for x
    x = 68,084,624,220.36/300,274.68
  6. Step 6: Final answer
    x = 226,741.14

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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.