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Finding the Fourth Proportional to 412,816.06, 619,224.63 and 113,300.74

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Solution

The fourth proportional to 412,816.06, 619,224.63 and 113,300.74 is: 169,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,816.06 : 619,224.63 = 113,300.74 : x
  2. Step 2: Convert to fraction form
    412,816.06/619,224.63 = 113,300.74/x
  3. Step 3: Cross multiply
    412,816.06x = 619,224.63 × 113,300.74
  4. Step 4: Simplify right side
    412,816.06x = 70,158,608,805.23
  5. Step 5: Solve for x
    x = 70,158,608,805.23/412,816.06
  6. Step 6: Final answer
    x = 169,951.26

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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.