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Finding the Fourth Proportional to 338,759.17, 507,977.78 and 196,648.01

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Solution

The fourth proportional to 338,759.17, 507,977.78 and 196,648.01 is: 294,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,759.17 : 507,977.78 = 196,648.01 : x
  2. Step 2: Convert to fraction form
    338,759.17/507,977.78 = 196,648.01/x
  3. Step 3: Cross multiply
    338,759.17x = 507,977.78 × 196,648.01
  4. Step 4: Simplify right side
    338,759.17x = 99,892,817,021.33
  5. Step 5: Solve for x
    x = 99,892,817,021.33/338,759.17
  6. Step 6: Final answer
    x = 294,878.57

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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.