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Finding the Fourth Proportional to 978,728.80, 1,468,093.20 and 829,429.60

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Solution

The fourth proportional to 978,728.80, 1,468,093.20 and 829,429.60 is: 1,244,144.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,728.80 : 1,468,093.20 = 829,429.60 : x
  2. Step 2: Convert to fraction form
    978,728.80/1,468,093.20 = 829,429.60/x
  3. Step 3: Cross multiply
    978,728.80x = 1,468,093.20 × 829,429.60
  4. Step 4: Simplify right side
    978,728.80x = 1,217,679,955,638.72
  5. Step 5: Solve for x
    x = 1,217,679,955,638.72/978,728.80
  6. Step 6: Final answer
    x = 1,244,144.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.