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Finding the Fourth Proportional to 312,277.38, 430,942.98 and 169,038.60

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Solution

The fourth proportional to 312,277.38, 430,942.98 and 169,038.60 is: 233,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,277.38 : 430,942.98 = 169,038.60 : x
  2. Step 2: Convert to fraction form
    312,277.38/430,942.98 = 169,038.60/x
  3. Step 3: Cross multiply
    312,277.38x = 430,942.98 × 169,038.60
  4. Step 4: Simplify right side
    312,277.38x = 72,845,998,019.03
  5. Step 5: Solve for x
    x = 72,845,998,019.03/312,277.38
  6. Step 6: Final answer
    x = 233,273.37

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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.