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Finding the Fourth Proportional to 298,427.69, 411,817.61 and 162,458.82

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Solution

The fourth proportional to 298,427.69, 411,817.61 and 162,458.82 is: 224,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,427.69 : 411,817.61 = 162,458.82 : x
  2. Step 2: Convert to fraction form
    298,427.69/411,817.61 = 162,458.82/x
  3. Step 3: Cross multiply
    298,427.69x = 411,817.61 × 162,458.82
  4. Step 4: Simplify right side
    298,427.69x = 66,903,402,163.53
  5. Step 5: Solve for x
    x = 66,903,402,163.53/298,427.69
  6. Step 6: Final answer
    x = 224,186.31

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Why These Related Problems?

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