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Finding the Fourth Proportional to 1,829,000.30, 2,743,500.45 and 831,728.30

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Solution

The fourth proportional to 1,829,000.30, 2,743,500.45 and 831,728.30 is: 1,247,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829,000.30 : 2,743,500.45 = 831,728.30 : x
  2. Step 2: Convert to fraction form
    1,829,000.30/2,743,500.45 = 831,728.30/x
  3. Step 3: Cross multiply
    1,829,000.30x = 2,743,500.45 × 831,728.30
  4. Step 4: Simplify right side
    1,829,000.30x = 2,281,846,965,327.74
  5. Step 5: Solve for x
    x = 2,281,846,965,327.74/1,829,000.30
  6. Step 6: Final answer
    x = 1,247,592.45

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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.