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Finding the Fourth Proportional to 413,161, 620,003.67 and 176,505.46

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Solution

The fourth proportional to 413,161, 620,003.67 and 176,505.46 is: 264,870.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,161 : 620,003.67 = 176,505.46 : x
  2. Step 2: Convert to fraction form
    413,161/620,003.67 = 176,505.46/x
  3. Step 3: Cross multiply
    413,161x = 620,003.67 × 176,505.46
  4. Step 4: Simplify right side
    413,161x = 109,434,032,975.04
  5. Step 5: Solve for x
    x = 109,434,032,975.04/413,161
  6. Step 6: Final answer
    x = 264,870.19

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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.