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Finding the Fourth Proportional to 651,942.80, 978,205.80 and 314,853.20

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Solution

The fourth proportional to 651,942.80, 978,205.80 and 314,853.20 is: 472,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,942.80 : 978,205.80 = 314,853.20 : x
  2. Step 2: Convert to fraction form
    651,942.80/978,205.80 = 314,853.20/x
  3. Step 3: Cross multiply
    651,942.80x = 978,205.80 × 314,853.20
  4. Step 4: Simplify right side
    651,942.80x = 307,991,226,388.56
  5. Step 5: Solve for x
    x = 307,991,226,388.56/651,942.80
  6. Step 6: Final answer
    x = 472,420.63

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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.