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Finding the Fourth Proportional to 734,714.10, 1,102,071.15 and 202,317.30

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Solution

The fourth proportional to 734,714.10, 1,102,071.15 and 202,317.30 is: 303,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,714.10 : 1,102,071.15 = 202,317.30 : x
  2. Step 2: Convert to fraction form
    734,714.10/1,102,071.15 = 202,317.30/x
  3. Step 3: Cross multiply
    734,714.10x = 1,102,071.15 × 202,317.30
  4. Step 4: Simplify right side
    734,714.10x = 222,968,059,475.90
  5. Step 5: Solve for x
    x = 222,968,059,475.90/734,714.10
  6. Step 6: Final answer
    x = 303,475.95

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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.