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Finding the Fourth Proportional to 314,903, 434,721.28 and 218,180.19

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Solution

The fourth proportional to 314,903, 434,721.28 and 218,180.19 is: 301,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,903 : 434,721.28 = 218,180.19 : x
  2. Step 2: Convert to fraction form
    314,903/434,721.28 = 218,180.19/x
  3. Step 3: Cross multiply
    314,903x = 434,721.28 × 218,180.19
  4. Step 4: Simplify right side
    314,903x = 94,847,571,467.44
  5. Step 5: Solve for x
    x = 94,847,571,467.44/314,903
  6. Step 6: Final answer
    x = 301,196.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.