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Finding the Fourth Proportional to 498,858.21, 748,093.19 and 161,817.36

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Solution

The fourth proportional to 498,858.21, 748,093.19 and 161,817.36 is: 242,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,858.21 : 748,093.19 = 161,817.36 : x
  2. Step 2: Convert to fraction form
    498,858.21/748,093.19 = 161,817.36/x
  3. Step 3: Cross multiply
    498,858.21x = 748,093.19 × 161,817.36
  4. Step 4: Simplify right side
    498,858.21x = 121,054,461,425.34
  5. Step 5: Solve for x
    x = 121,054,461,425.34/498,858.21
  6. Step 6: Final answer
    x = 242,663.07

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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.