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Finding the Fourth Proportional to 777,621, 1,166,431.50 and 186,645

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Solution

The fourth proportional to 777,621, 1,166,431.50 and 186,645 is: 279,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,621 : 1,166,431.50 = 186,645 : x
  2. Step 2: Convert to fraction form
    777,621/1,166,431.50 = 186,645/x
  3. Step 3: Cross multiply
    777,621x = 1,166,431.50 × 186,645
  4. Step 4: Simplify right side
    777,621x = 217,708,607,317.50
  5. Step 5: Solve for x
    x = 217,708,607,317.50/777,621
  6. Step 6: Final answer
    x = 279,967.50

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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.