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Finding the Fourth Proportional to 235,361.64, 354,323.07 and 214,436.10

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Solution

The fourth proportional to 235,361.64, 354,323.07 and 214,436.10 is: 322,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,361.64 : 354,323.07 = 214,436.10 : x
  2. Step 2: Convert to fraction form
    235,361.64/354,323.07 = 214,436.10/x
  3. Step 3: Cross multiply
    235,361.64x = 354,323.07 × 214,436.10
  4. Step 4: Simplify right side
    235,361.64x = 75,979,657,270.83
  5. Step 5: Solve for x
    x = 75,979,657,270.83/235,361.64
  6. Step 6: Final answer
    x = 322,820.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.