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Finding the Fourth Proportional to 338,578.40, 507,997.20 and 333,264.80

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Solution

The fourth proportional to 338,578.40, 507,997.20 and 333,264.80 is: 500,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,578.40 : 507,997.20 = 333,264.80 : x
  2. Step 2: Convert to fraction form
    338,578.40/507,997.20 = 333,264.80/x
  3. Step 3: Cross multiply
    338,578.40x = 507,997.20 × 333,264.80
  4. Step 4: Simplify right side
    338,578.40x = 169,297,585,258.56
  5. Step 5: Solve for x
    x = 169,297,585,258.56/338,578.40
  6. Step 6: Final answer
    x = 500,024.77

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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.