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Finding the Fourth Proportional to 651,843.10, 978,202.05 and 296,674.30

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Solution

The fourth proportional to 651,843.10, 978,202.05 and 296,674.30 is: 445,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,843.10 : 978,202.05 = 296,674.30 : x
  2. Step 2: Convert to fraction form
    651,843.10/978,202.05 = 296,674.30/x
  3. Step 3: Cross multiply
    651,843.10x = 978,202.05 × 296,674.30
  4. Step 4: Simplify right side
    651,843.10x = 290,207,408,442.32
  5. Step 5: Solve for x
    x = 290,207,408,442.32/651,843.10
  6. Step 6: Final answer
    x = 445,210.52

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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.