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Finding the Fourth Proportional to 414,173.64, 621,326.06 and 133,625.28

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Solution

The fourth proportional to 414,173.64, 621,326.06 and 133,625.28 is: 200,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,173.64 : 621,326.06 = 133,625.28 : x
  2. Step 2: Convert to fraction form
    414,173.64/621,326.06 = 133,625.28/x
  3. Step 3: Cross multiply
    414,173.64x = 621,326.06 × 133,625.28
  4. Step 4: Simplify right side
    414,173.64x = 83,024,868,738.80
  5. Step 5: Solve for x
    x = 83,024,868,738.80/414,173.64
  6. Step 6: Final answer
    x = 200,459.08

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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.