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Finding the Fourth Proportional to 338,364, 507,554.10 and 113,727.24

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Solution

The fourth proportional to 338,364, 507,554.10 and 113,727.24 is: 170,593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,364 : 507,554.10 = 113,727.24 : x
  2. Step 2: Convert to fraction form
    338,364/507,554.10 = 113,727.24/x
  3. Step 3: Cross multiply
    338,364x = 507,554.10 × 113,727.24
  4. Step 4: Simplify right side
    338,364x = 57,722,726,943.68
  5. Step 5: Solve for x
    x = 57,722,726,943.68/338,364
  6. Step 6: Final answer
    x = 170,593.58

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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.