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Finding the Fourth Proportional to 514,188.48, 770,810.34 and 177,149

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Solution

The fourth proportional to 514,188.48, 770,810.34 and 177,149 is: 265,560.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,188.48 : 770,810.34 = 177,149 : x
  2. Step 2: Convert to fraction form
    514,188.48/770,810.34 = 177,149/x
  3. Step 3: Cross multiply
    514,188.48x = 770,810.34 × 177,149
  4. Step 4: Simplify right side
    514,188.48x = 136,548,280,920.66
  5. Step 5: Solve for x
    x = 136,548,280,920.66/514,188.48
  6. Step 6: Final answer
    x = 265,560.75

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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.