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Finding the Fourth Proportional to 310,829.12, 464,474.22 and 233,387.26

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Solution

The fourth proportional to 310,829.12, 464,474.22 and 233,387.26 is: 348,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,829.12 : 464,474.22 = 233,387.26 : x
  2. Step 2: Convert to fraction form
    310,829.12/464,474.22 = 233,387.26/x
  3. Step 3: Cross multiply
    310,829.12x = 464,474.22 × 233,387.26
  4. Step 4: Simplify right side
    310,829.12x = 108,402,365,546.44
  5. Step 5: Solve for x
    x = 108,402,365,546.44/310,829.12
  6. Step 6: Final answer
    x = 348,752.28

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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.