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Finding the Fourth Proportional to 651,964.70, 978,357.45 and 277,982.30

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Solution

The fourth proportional to 651,964.70, 978,357.45 and 277,982.30 is: 417,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,964.70 : 978,357.45 = 277,982.30 : x
  2. Step 2: Convert to fraction form
    651,964.70/978,357.45 = 277,982.30/x
  3. Step 3: Cross multiply
    651,964.70x = 978,357.45 × 277,982.30
  4. Step 4: Simplify right side
    651,964.70x = 271,966,054,173.14
  5. Step 5: Solve for x
    x = 271,966,054,173.14/651,964.70
  6. Step 6: Final answer
    x = 417,148.43

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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.