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Finding the Fourth Proportional to 338,886.41, 508,333.25 and 102,231.14

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Solution

The fourth proportional to 338,886.41, 508,333.25 and 102,231.14 is: 153,347.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,886.41 : 508,333.25 = 102,231.14 : x
  2. Step 2: Convert to fraction form
    338,886.41/508,333.25 = 102,231.14/x
  3. Step 3: Cross multiply
    338,886.41x = 508,333.25 × 102,231.14
  4. Step 4: Simplify right side
    338,886.41x = 51,967,485,361.32
  5. Step 5: Solve for x
    x = 51,967,485,361.32/338,886.41
  6. Step 6: Final answer
    x = 153,347.80

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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.