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Finding the Fourth Proportional to 582,636.96, 874,085.82 and 177,865.15

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Solution

The fourth proportional to 582,636.96, 874,085.82 and 177,865.15 is: 266,837.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,636.96 : 874,085.82 = 177,865.15 : x
  2. Step 2: Convert to fraction form
    582,636.96/874,085.82 = 177,865.15/x
  3. Step 3: Cross multiply
    582,636.96x = 874,085.82 × 177,865.15
  4. Step 4: Simplify right side
    582,636.96x = 155,469,401,783.74
  5. Step 5: Solve for x
    x = 155,469,401,783.74/582,636.96
  6. Step 6: Final answer
    x = 266,837.52

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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.