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Finding the Fourth Proportional to 414,421.94, 621,632.94 and 114,902.53

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Solution

The fourth proportional to 414,421.94, 621,632.94 and 114,902.53 is: 172,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,421.94 : 621,632.94 = 114,902.53 : x
  2. Step 2: Convert to fraction form
    414,421.94/621,632.94 = 114,902.53/x
  3. Step 3: Cross multiply
    414,421.94x = 621,632.94 × 114,902.53
  4. Step 4: Simplify right side
    414,421.94x = 71,427,197,537.34
  5. Step 5: Solve for x
    x = 71,427,197,537.34/414,421.94
  6. Step 6: Final answer
    x = 172,353.80

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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.