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Finding the Fourth Proportional to 514,313.52, 770,997.78 and 177,274.14

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Solution

The fourth proportional to 514,313.52, 770,997.78 and 177,274.14 is: 265,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,313.52 : 770,997.78 = 177,274.14 : x
  2. Step 2: Convert to fraction form
    514,313.52/770,997.78 = 177,274.14/x
  3. Step 3: Cross multiply
    514,313.52x = 770,997.78 × 177,274.14
  4. Step 4: Simplify right side
    514,313.52x = 136,677,968,391.41
  5. Step 5: Solve for x
    x = 136,677,968,391.41/514,313.52
  6. Step 6: Final answer
    x = 265,748.35

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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.