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Finding the Fourth Proportional to 472,745.75, 709,124.76 and 157,202.64

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Solution

The fourth proportional to 472,745.75, 709,124.76 and 157,202.64 is: 235,806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,745.75 : 709,124.76 = 157,202.64 : x
  2. Step 2: Convert to fraction form
    472,745.75/709,124.76 = 157,202.64/x
  3. Step 3: Cross multiply
    472,745.75x = 709,124.76 × 157,202.64
  4. Step 4: Simplify right side
    472,745.75x = 111,476,284,361.37
  5. Step 5: Solve for x
    x = 111,476,284,361.37/472,745.75
  6. Step 6: Final answer
    x = 235,806.00

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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.