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Finding the Fourth Proportional to 413,288.34, 620,169.03 and 160,536.12

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Solution

The fourth proportional to 413,288.34, 620,169.03 and 160,536.12 is: 240,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,288.34 : 620,169.03 = 160,536.12 : x
  2. Step 2: Convert to fraction form
    413,288.34/620,169.03 = 160,536.12/x
  3. Step 3: Cross multiply
    413,288.34x = 620,169.03 × 160,536.12
  4. Step 4: Simplify right side
    413,288.34x = 99,559,529,820.36
  5. Step 5: Solve for x
    x = 99,559,529,820.36/413,288.34
  6. Step 6: Final answer
    x = 240,896.05

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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.