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Finding the Fourth Proportional to 978,542.80, 1,467,814.20 and 829,243.60

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Solution

The fourth proportional to 978,542.80, 1,467,814.20 and 829,243.60 is: 1,243,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,542.80 : 1,467,814.20 = 829,243.60 : x
  2. Step 2: Convert to fraction form
    978,542.80/1,467,814.20 = 829,243.60/x
  3. Step 3: Cross multiply
    978,542.80x = 1,467,814.20 × 829,243.60
  4. Step 4: Simplify right side
    978,542.80x = 1,217,175,531,339.12
  5. Step 5: Solve for x
    x = 1,217,175,531,339.12/978,542.80
  6. Step 6: Final answer
    x = 1,243,865.40

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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.