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Finding the Fourth Proportional to 298,087.72, 411,419.46 and 170,848.60

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Solution

The fourth proportional to 298,087.72, 411,419.46 and 170,848.60 is: 235,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,087.72 : 411,419.46 = 170,848.60 : x
  2. Step 2: Convert to fraction form
    298,087.72/411,419.46 = 170,848.60/x
  3. Step 3: Cross multiply
    298,087.72x = 411,419.46 × 170,848.60
  4. Step 4: Simplify right side
    298,087.72x = 70,290,438,753.76
  5. Step 5: Solve for x
    x = 70,290,438,753.76/298,087.72
  6. Step 6: Final answer
    x = 235,804.54

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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.