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Finding the Fourth Proportional to 338,678.96, 507,914.72 and 234,169.52

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Solution

The fourth proportional to 338,678.96, 507,914.72 and 234,169.52 is: 351,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,678.96 : 507,914.72 = 234,169.52 : x
  2. Step 2: Convert to fraction form
    338,678.96/507,914.72 = 234,169.52/x
  3. Step 3: Cross multiply
    338,678.96x = 507,914.72 × 234,169.52
  4. Step 4: Simplify right side
    338,678.96x = 118,938,146,183.33
  5. Step 5: Solve for x
    x = 118,938,146,183.33/338,678.96
  6. Step 6: Final answer
    x = 351,182.57

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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.