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Finding the Fourth Proportional to 298,270.81, 411,631.46 and 170,954.59

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Solution

The fourth proportional to 298,270.81, 411,631.46 and 170,954.59 is: 235,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,270.81 : 411,631.46 = 170,954.59 : x
  2. Step 2: Convert to fraction form
    298,270.81/411,631.46 = 170,954.59/x
  3. Step 3: Cross multiply
    298,270.81x = 411,631.46 × 170,954.59
  4. Step 4: Simplify right side
    298,270.81x = 70,370,287,475.40
  5. Step 5: Solve for x
    x = 70,370,287,475.40/298,270.81
  6. Step 6: Final answer
    x = 235,927.50

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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.