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Finding the Fourth Proportional to 413,272.14, 619,908.23 and 163,954.14

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Solution

The fourth proportional to 413,272.14, 619,908.23 and 163,954.14 is: 245,931.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,272.14 : 619,908.23 = 163,954.14 : x
  2. Step 2: Convert to fraction form
    413,272.14/619,908.23 = 163,954.14/x
  3. Step 3: Cross multiply
    413,272.14x = 619,908.23 × 163,954.14
  4. Step 4: Simplify right side
    413,272.14x = 101,636,519,908.80
  5. Step 5: Solve for x
    x = 101,636,519,908.80/413,272.14
  6. Step 6: Final answer
    x = 245,931.22

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.