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Finding the Fourth Proportional to 310,746.32, 428,586.31 and 212,687.68

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Solution

The fourth proportional to 310,746.32, 428,586.31 and 212,687.68 is: 293,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,746.32 : 428,586.31 = 212,687.68 : x
  2. Step 2: Convert to fraction form
    310,746.32/428,586.31 = 212,687.68/x
  3. Step 3: Cross multiply
    310,746.32x = 428,586.31 × 212,687.68
  4. Step 4: Simplify right side
    310,746.32x = 91,155,026,755.29
  5. Step 5: Solve for x
    x = 91,155,026,755.29/310,746.32
  6. Step 6: Final answer
    x = 293,342.25

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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.