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Finding the Fourth Proportional to 413,859.85, 620,783.61 and 114,333.79

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Solution

The fourth proportional to 413,859.85, 620,783.61 and 114,333.79 is: 171,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,859.85 : 620,783.61 = 114,333.79 : x
  2. Step 2: Convert to fraction form
    413,859.85/620,783.61 = 114,333.79/x
  3. Step 3: Cross multiply
    413,859.85x = 620,783.61 × 114,333.79
  4. Step 4: Simplify right side
    413,859.85x = 70,976,542,901.18
  5. Step 5: Solve for x
    x = 70,976,542,901.18/413,859.85
  6. Step 6: Final answer
    x = 171,498.98

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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.