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Finding the Fourth Proportional to 338,588.84, 507,903.93 and 113,930.42

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Solution

The fourth proportional to 338,588.84, 507,903.93 and 113,930.42 is: 170,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,588.84 : 507,903.93 = 113,930.42 : x
  2. Step 2: Convert to fraction form
    338,588.84/507,903.93 = 113,930.42/x
  3. Step 3: Cross multiply
    338,588.84x = 507,903.93 × 113,930.42
  4. Step 4: Simplify right side
    338,588.84x = 57,865,705,525.03
  5. Step 5: Solve for x
    x = 57,865,705,525.03/338,588.84
  6. Step 6: Final answer
    x = 170,902.58

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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.