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Finding the Fourth Proportional to 338,603.96, 507,460.32 and 188,914.73

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Solution

The fourth proportional to 338,603.96, 507,460.32 and 188,914.73 is: 283,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,603.96 : 507,460.32 = 188,914.73 : x
  2. Step 2: Convert to fraction form
    338,603.96/507,460.32 = 188,914.73/x
  3. Step 3: Cross multiply
    338,603.96x = 507,460.32 × 188,914.73
  4. Step 4: Simplify right side
    338,603.96x = 95,866,729,338.51
  5. Step 5: Solve for x
    x = 95,866,729,338.51/338,603.96
  6. Step 6: Final answer
    x = 283,123.47

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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.