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Finding the Fourth Proportional to 413,736.80, 620,592.84 and 114,235.66

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Solution

The fourth proportional to 413,736.80, 620,592.84 and 114,235.66 is: 171,350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,736.80 : 620,592.84 = 114,235.66 : x
  2. Step 2: Convert to fraction form
    413,736.80/620,592.84 = 114,235.66/x
  3. Step 3: Cross multiply
    413,736.80x = 620,592.84 × 114,235.66
  4. Step 4: Simplify right side
    413,736.80x = 70,893,832,668.67
  5. Step 5: Solve for x
    x = 70,893,832,668.67/413,736.80
  6. Step 6: Final answer
    x = 171,350.08

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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.