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Finding the Fourth Proportional to 414,164.61, 621,312.66 and 133,616.25

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Solution

The fourth proportional to 414,164.61, 621,312.66 and 133,616.25 is: 200,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,164.61 : 621,312.66 = 133,616.25 : x
  2. Step 2: Convert to fraction form
    414,164.61/621,312.66 = 133,616.25/x
  3. Step 3: Cross multiply
    414,164.61x = 621,312.66 × 133,616.25
  4. Step 4: Simplify right side
    414,164.61x = 83,017,467,706.73
  5. Step 5: Solve for x
    x = 83,017,467,706.73/414,164.61
  6. Step 6: Final answer
    x = 200,445.59

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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.