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Finding the Fourth Proportional to 410,965.86, 616,341.86 and 174,186.66

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Solution

The fourth proportional to 410,965.86, 616,341.86 and 174,186.66 is: 261,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,965.86 : 616,341.86 = 174,186.66 : x
  2. Step 2: Convert to fraction form
    410,965.86/616,341.86 = 174,186.66/x
  3. Step 3: Cross multiply
    410,965.86x = 616,341.86 × 174,186.66
  4. Step 4: Simplify right side
    410,965.86x = 107,358,527,365.35
  5. Step 5: Solve for x
    x = 107,358,527,365.35/410,965.86
  6. Step 6: Final answer
    x = 261,234.66

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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.