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Finding the Fourth Proportional to 978,032.20, 1,465,298.70 and 827,566.60

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Solution

The fourth proportional to 978,032.20, 1,465,298.70 and 827,566.60 is: 1,239,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,032.20 : 1,465,298.70 = 827,566.60 : x
  2. Step 2: Convert to fraction form
    978,032.20/1,465,298.70 = 827,566.60/x
  3. Step 3: Cross multiply
    978,032.20x = 1,465,298.70 × 827,566.60
  4. Step 4: Simplify right side
    978,032.20x = 1,212,632,263,143.42
  5. Step 5: Solve for x
    x = 1,212,632,263,143.42/978,032.20
  6. Step 6: Final answer
    x = 1,239,869.47

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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.