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Finding the Fourth Proportional to 458,322.09, 632,474.97 and 254,361.17

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Solution

The fourth proportional to 458,322.09, 632,474.97 and 254,361.17 is: 351,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,322.09 : 632,474.97 = 254,361.17 : x
  2. Step 2: Convert to fraction form
    458,322.09/632,474.97 = 254,361.17/x
  3. Step 3: Cross multiply
    458,322.09x = 632,474.97 × 254,361.17
  4. Step 4: Simplify right side
    458,322.09x = 160,877,073,364.92
  5. Step 5: Solve for x
    x = 160,877,073,364.92/458,322.09
  6. Step 6: Final answer
    x = 351,013.13

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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.