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Finding the Fourth Proportional to 338,794.56, 507,781.62 and 188,875.62

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Solution

The fourth proportional to 338,794.56, 507,781.62 and 188,875.62 is: 283,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,794.56 : 507,781.62 = 188,875.62 : x
  2. Step 2: Convert to fraction form
    338,794.56/507,781.62 = 188,875.62/x
  3. Step 3: Cross multiply
    338,794.56x = 507,781.62 × 188,875.62
  4. Step 4: Simplify right side
    338,794.56x = 95,907,568,302.10
  5. Step 5: Solve for x
    x = 95,907,568,302.10/338,794.56
  6. Step 6: Final answer
    x = 283,084.74

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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.