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Finding the Fourth Proportional to 514,182.72, 770,801.72 and 177,143.25

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Solution

The fourth proportional to 514,182.72, 770,801.72 and 177,143.25 is: 265,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,182.72 : 770,801.72 = 177,143.25 : x
  2. Step 2: Convert to fraction form
    514,182.72/770,801.72 = 177,143.25/x
  3. Step 3: Cross multiply
    514,182.72x = 770,801.72 × 177,143.25
  4. Step 4: Simplify right side
    514,182.72x = 136,542,320,900.67
  5. Step 5: Solve for x
    x = 136,542,320,900.67/514,182.72
  6. Step 6: Final answer
    x = 265,552.14

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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.