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Finding the Fourth Proportional to 600,896.16, 901,285.68 and 157,664.16

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Solution

The fourth proportional to 600,896.16, 901,285.68 and 157,664.16 is: 236,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,896.16 : 901,285.68 = 157,664.16 : x
  2. Step 2: Convert to fraction form
    600,896.16/901,285.68 = 157,664.16/x
  3. Step 3: Cross multiply
    600,896.16x = 901,285.68 × 157,664.16
  4. Step 4: Simplify right side
    600,896.16x = 142,100,449,657.23
  5. Step 5: Solve for x
    x = 142,100,449,657.23/600,896.16
  6. Step 6: Final answer
    x = 236,480.87

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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.