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Finding the Fourth Proportional to 414,102.40, 621,809.70 and 302,565.40

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Solution

The fourth proportional to 414,102.40, 621,809.70 and 302,565.40 is: 454,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,102.40 : 621,809.70 = 302,565.40 : x
  2. Step 2: Convert to fraction form
    414,102.40/621,809.70 = 302,565.40/x
  3. Step 3: Cross multiply
    414,102.40x = 621,809.70 × 302,565.40
  4. Step 4: Simplify right side
    414,102.40x = 188,138,100,604.38
  5. Step 5: Solve for x
    x = 188,138,100,604.38/414,102.40
  6. Step 6: Final answer
    x = 454,327.48

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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.