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Finding the Fourth Proportional to 418,601.70, 628,048.35 and 182,114.10

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Solution

The fourth proportional to 418,601.70, 628,048.35 and 182,114.10 is: 273,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,601.70 : 628,048.35 = 182,114.10 : x
  2. Step 2: Convert to fraction form
    418,601.70/628,048.35 = 182,114.10/x
  3. Step 3: Cross multiply
    418,601.70x = 628,048.35 × 182,114.10
  4. Step 4: Simplify right side
    418,601.70x = 114,376,460,016.74
  5. Step 5: Solve for x
    x = 114,376,460,016.74/418,601.70
  6. Step 6: Final answer
    x = 273,234.58

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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.