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Finding the Fourth Proportional to 1,039,059.30, 1,555,964.55 and 829,107.30

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Solution

The fourth proportional to 1,039,059.30, 1,555,964.55 and 829,107.30 is: 1,241,566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039,059.30 : 1,555,964.55 = 829,107.30 : x
  2. Step 2: Convert to fraction form
    1,039,059.30/1,555,964.55 = 829,107.30/x
  3. Step 3: Cross multiply
    1,039,059.30x = 1,555,964.55 × 829,107.30
  4. Step 4: Simplify right side
    1,039,059.30x = 1,290,061,566,946.22
  5. Step 5: Solve for x
    x = 1,290,061,566,946.22/1,039,059.30
  6. Step 6: Final answer
    x = 1,241,566.84

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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.