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Finding the Fourth Proportional to 338,836.56, 507,924.35 and 161,295.90

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Solution

The fourth proportional to 338,836.56, 507,924.35 and 161,295.90 is: 241,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,836.56 : 507,924.35 = 161,295.90 : x
  2. Step 2: Convert to fraction form
    338,836.56/507,924.35 = 161,295.90/x
  3. Step 3: Cross multiply
    338,836.56x = 507,924.35 × 161,295.90
  4. Step 4: Simplify right side
    338,836.56x = 81,926,115,165.17
  5. Step 5: Solve for x
    x = 81,926,115,165.17/338,836.56
  6. Step 6: Final answer
    x = 241,786.53

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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.