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Finding the Fourth Proportional to 802,102.40, 1,202,764.80 and 446,739.20

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Solution

The fourth proportional to 802,102.40, 1,202,764.80 and 446,739.20 is: 669,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,102.40 : 1,202,764.80 = 446,739.20 : x
  2. Step 2: Convert to fraction form
    802,102.40/1,202,764.80 = 446,739.20/x
  3. Step 3: Cross multiply
    802,102.40x = 1,202,764.80 × 446,739.20
  4. Step 4: Simplify right side
    802,102.40x = 537,322,184,540.16
  5. Step 5: Solve for x
    x = 537,322,184,540.16/802,102.40
  6. Step 6: Final answer
    x = 669,892.25

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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.