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Finding the Fourth Proportional to 471,064.34, 705,706.44 and 278,363.96

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Solution

The fourth proportional to 471,064.34, 705,706.44 and 278,363.96 is: 417,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,064.34 : 705,706.44 = 278,363.96 : x
  2. Step 2: Convert to fraction form
    471,064.34/705,706.44 = 278,363.96/x
  3. Step 3: Cross multiply
    471,064.34x = 705,706.44 × 278,363.96
  4. Step 4: Simplify right side
    471,064.34x = 196,443,239,235.90
  5. Step 5: Solve for x
    x = 196,443,239,235.90/471,064.34
  6. Step 6: Final answer
    x = 417,019.97

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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.