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Finding the Fourth Proportional to 468,085.74, 702,157.76 and 187,566.54

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Solution

The fourth proportional to 468,085.74, 702,157.76 and 187,566.54 is: 281,361.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,085.74 : 702,157.76 = 187,566.54 : x
  2. Step 2: Convert to fraction form
    468,085.74/702,157.76 = 187,566.54/x
  3. Step 3: Cross multiply
    468,085.74x = 702,157.76 × 187,566.54
  4. Step 4: Simplify right side
    468,085.74x = 131,701,301,577.35
  5. Step 5: Solve for x
    x = 131,701,301,577.35/468,085.74
  6. Step 6: Final answer
    x = 281,361.49

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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.