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Finding the Fourth Proportional to 338,395.94, 507,575.24 and 113,733.19

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Solution

The fourth proportional to 338,395.94, 507,575.24 and 113,733.19 is: 170,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,395.94 : 507,575.24 = 113,733.19 : x
  2. Step 2: Convert to fraction form
    338,395.94/507,575.24 = 113,733.19/x
  3. Step 3: Cross multiply
    338,395.94x = 507,575.24 × 113,733.19
  4. Step 4: Simplify right side
    338,395.94x = 57,728,148,103.67
  5. Step 5: Solve for x
    x = 57,728,148,103.67/338,395.94
  6. Step 6: Final answer
    x = 170,593.50

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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.