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Finding the Fourth Proportional to 414,063.63, 621,226.68 and 147,818.25

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Solution

The fourth proportional to 414,063.63, 621,226.68 and 147,818.25 is: 221,774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,063.63 : 621,226.68 = 147,818.25 : x
  2. Step 2: Convert to fraction form
    414,063.63/621,226.68 = 147,818.25/x
  3. Step 3: Cross multiply
    414,063.63x = 621,226.68 × 147,818.25
  4. Step 4: Simplify right side
    414,063.63x = 91,828,640,690.91
  5. Step 5: Solve for x
    x = 91,828,640,690.91/414,063.63
  6. Step 6: Final answer
    x = 221,774.23

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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.