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Finding the Fourth Proportional to 414,353.86, 621,562.12 and 114,830.98

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Solution

The fourth proportional to 414,353.86, 621,562.12 and 114,830.98 is: 172,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,353.86 : 621,562.12 = 114,830.98 : x
  2. Step 2: Convert to fraction form
    414,353.86/621,562.12 = 114,830.98/x
  3. Step 3: Cross multiply
    414,353.86x = 621,562.12 × 114,830.98
  4. Step 4: Simplify right side
    414,353.86x = 71,374,587,370.48
  5. Step 5: Solve for x
    x = 71,374,587,370.48/414,353.86
  6. Step 6: Final answer
    x = 172,255.15

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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.