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Finding the Fourth Proportional to 734,714.60, 1,102,007.10 and 202,188.20

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Solution

The fourth proportional to 734,714.60, 1,102,007.10 and 202,188.20 is: 303,264.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,714.60 : 1,102,007.10 = 202,188.20 : x
  2. Step 2: Convert to fraction form
    734,714.60/1,102,007.10 = 202,188.20/x
  3. Step 3: Cross multiply
    734,714.60x = 1,102,007.10 × 202,188.20
  4. Step 4: Simplify right side
    734,714.60x = 222,812,831,936.22
  5. Step 5: Solve for x
    x = 222,812,831,936.22/734,714.60
  6. Step 6: Final answer
    x = 303,264.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.