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Finding the Fourth Proportional to 414,389.54, 621,522.72 and 114,838.88

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Solution

The fourth proportional to 414,389.54, 621,522.72 and 114,838.88 is: 172,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,389.54 : 621,522.72 = 114,838.88 : x
  2. Step 2: Convert to fraction form
    414,389.54/621,522.72 = 114,838.88/x
  3. Step 3: Cross multiply
    414,389.54x = 621,522.72 × 114,838.88
  4. Step 4: Simplify right side
    414,389.54x = 71,374,973,447.81
  5. Step 5: Solve for x
    x = 71,374,973,447.81/414,389.54
  6. Step 6: Final answer
    x = 172,241.25

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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.