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Finding the Fourth Proportional to 413,936.59, 620,385.47 and 177,000.65

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Solution

The fourth proportional to 413,936.59, 620,385.47 and 177,000.65 is: 265,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,936.59 : 620,385.47 = 177,000.65 : x
  2. Step 2: Convert to fraction form
    413,936.59/620,385.47 = 177,000.65/x
  3. Step 3: Cross multiply
    413,936.59x = 620,385.47 × 177,000.65
  4. Step 4: Simplify right side
    413,936.59x = 109,808,633,061.07
  5. Step 5: Solve for x
    x = 109,808,633,061.07/413,936.59
  6. Step 6: Final answer
    x = 265,278.88

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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.