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Finding the Fourth Proportional to 403,351.40, 603,714.90 and 314,121.80

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Solution

The fourth proportional to 403,351.40, 603,714.90 and 314,121.80 is: 470,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,351.40 : 603,714.90 = 314,121.80 : x
  2. Step 2: Convert to fraction form
    403,351.40/603,714.90 = 314,121.80/x
  3. Step 3: Cross multiply
    403,351.40x = 603,714.90 × 314,121.80
  4. Step 4: Simplify right side
    403,351.40x = 189,640,011,074.82
  5. Step 5: Solve for x
    x = 189,640,011,074.82/403,351.40
  6. Step 6: Final answer
    x = 470,160.79

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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.