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Finding the Fourth Proportional to 298,069.83, 411,346.89 and 170,770.01

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Solution

The fourth proportional to 298,069.83, 411,346.89 and 170,770.01 is: 235,668.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,069.83 : 411,346.89 = 170,770.01 : x
  2. Step 2: Convert to fraction form
    298,069.83/411,346.89 = 170,770.01/x
  3. Step 3: Cross multiply
    298,069.83x = 411,346.89 × 170,770.01
  4. Step 4: Simplify right side
    298,069.83x = 70,245,710,462.03
  5. Step 5: Solve for x
    x = 70,245,710,462.03/298,069.83
  6. Step 6: Final answer
    x = 235,668.64

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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.