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Finding the Fourth Proportional to 312,340.16, 431,029.60 and 169,100.24

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Solution

The fourth proportional to 312,340.16, 431,029.60 and 169,100.24 is: 233,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,340.16 : 431,029.60 = 169,100.24 : x
  2. Step 2: Convert to fraction form
    312,340.16/431,029.60 = 169,100.24/x
  3. Step 3: Cross multiply
    312,340.16x = 431,029.60 × 169,100.24
  4. Step 4: Simplify right side
    312,340.16x = 72,887,208,807.10
  5. Step 5: Solve for x
    x = 72,887,208,807.10/312,340.16
  6. Step 6: Final answer
    x = 233,358.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.