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Finding the Fourth Proportional to 414,390.84, 621,524.70 and 114,840.18

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Solution

The fourth proportional to 414,390.84, 621,524.70 and 114,840.18 is: 172,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,390.84 : 621,524.70 = 114,840.18 : x
  2. Step 2: Convert to fraction form
    414,390.84/621,524.70 = 114,840.18/x
  3. Step 3: Cross multiply
    414,390.84x = 621,524.70 × 114,840.18
  4. Step 4: Simplify right side
    414,390.84x = 71,376,008,422.45
  5. Step 5: Solve for x
    x = 71,376,008,422.45/414,390.84
  6. Step 6: Final answer
    x = 172,243.21

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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.