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Finding the Fourth Proportional to 310,825.12, 464,468.26 and 233,383.26

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Solution

The fourth proportional to 310,825.12, 464,468.26 and 233,383.26 is: 348,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,825.12 : 464,468.26 = 233,383.26 : x
  2. Step 2: Convert to fraction form
    310,825.12/464,468.26 = 233,383.26/x
  3. Step 3: Cross multiply
    310,825.12x = 464,468.26 × 233,383.26
  4. Step 4: Simplify right side
    310,825.12x = 108,399,116,685.33
  5. Step 5: Solve for x
    x = 108,399,116,685.33/310,825.12
  6. Step 6: Final answer
    x = 348,746.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.