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Finding the Fourth Proportional to 460,485.72, 689,453.16 and 235,361.34

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Solution

The fourth proportional to 460,485.72, 689,453.16 and 235,361.34 is: 352,390.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,485.72 : 689,453.16 = 235,361.34 : x
  2. Step 2: Convert to fraction form
    460,485.72/689,453.16 = 235,361.34/x
  3. Step 3: Cross multiply
    460,485.72x = 689,453.16 × 235,361.34
  4. Step 4: Simplify right side
    460,485.72x = 162,270,619,604.83
  5. Step 5: Solve for x
    x = 162,270,619,604.83/460,485.72
  6. Step 6: Final answer
    x = 352,390.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.