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Finding the Fourth Proportional to 413,566.70, 620,347.76 and 161,022.87

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Solution

The fourth proportional to 413,566.70, 620,347.76 and 161,022.87 is: 241,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,566.70 : 620,347.76 = 161,022.87 : x
  2. Step 2: Convert to fraction form
    413,566.70/620,347.76 = 161,022.87/x
  3. Step 3: Cross multiply
    413,566.70x = 620,347.76 × 161,022.87
  4. Step 4: Simplify right side
    413,566.70x = 99,890,175,908.16
  5. Step 5: Solve for x
    x = 99,890,175,908.16/413,566.70
  6. Step 6: Final answer
    x = 241,533.41

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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.