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Finding the Fourth Proportional to 413,858.85, 620,782.11 and 114,332.79

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Solution

The fourth proportional to 413,858.85, 620,782.11 and 114,332.79 is: 171,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,858.85 : 620,782.11 = 114,332.79 : x
  2. Step 2: Convert to fraction form
    413,858.85/620,782.11 = 114,332.79/x
  3. Step 3: Cross multiply
    413,858.85x = 620,782.11 × 114,332.79
  4. Step 4: Simplify right side
    413,858.85x = 70,975,752,946.32
  5. Step 5: Solve for x
    x = 70,975,752,946.32/413,858.85
  6. Step 6: Final answer
    x = 171,497.49

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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.