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Finding the Fourth Proportional to 298,309.60, 411,667.28 and 164,173.60

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Solution

The fourth proportional to 298,309.60, 411,667.28 and 164,173.60 is: 226,559.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,309.60 : 411,667.28 = 164,173.60 : x
  2. Step 2: Convert to fraction form
    298,309.60/411,667.28 = 164,173.60/x
  3. Step 3: Cross multiply
    298,309.60x = 411,667.28 × 164,173.60
  4. Step 4: Simplify right side
    298,309.60x = 67,584,899,359.81
  5. Step 5: Solve for x
    x = 67,584,899,359.81/298,309.60
  6. Step 6: Final answer
    x = 226,559.59

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1.5x scale

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.