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Finding the Fourth Proportional to 514,186.47, 770,807.34 and 177,147

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Solution

The fourth proportional to 514,186.47, 770,807.34 and 177,147 is: 265,557.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,186.47 : 770,807.34 = 177,147 : x
  2. Step 2: Convert to fraction form
    514,186.47/770,807.34 = 177,147/x
  3. Step 3: Cross multiply
    514,186.47x = 770,807.34 × 177,147
  4. Step 4: Simplify right side
    514,186.47x = 136,546,207,858.98
  5. Step 5: Solve for x
    x = 136,546,207,858.98/514,186.47
  6. Step 6: Final answer
    x = 265,557.76

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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.