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Finding the Fourth Proportional to 312,429.60, 431,147.52 and 169,188.48

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Solution

The fourth proportional to 312,429.60, 431,147.52 and 169,188.48 is: 233,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,429.60 : 431,147.52 = 169,188.48 : x
  2. Step 2: Convert to fraction form
    312,429.60/431,147.52 = 169,188.48/x
  3. Step 3: Cross multiply
    312,429.60x = 431,147.52 × 169,188.48
  4. Step 4: Simplify right side
    312,429.60x = 72,945,193,564.57
  5. Step 5: Solve for x
    x = 72,945,193,564.57/312,429.60
  6. Step 6: Final answer
    x = 233,477.22

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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.