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Finding the Fourth Proportional to 561,745.46, 842,610 and 182,683.64

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Solution

The fourth proportional to 561,745.46, 842,610 and 182,683.64 is: 274,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,745.46 : 842,610 = 182,683.64 : x
  2. Step 2: Convert to fraction form
    561,745.46/842,610 = 182,683.64/x
  3. Step 3: Cross multiply
    561,745.46x = 842,610 × 182,683.64
  4. Step 4: Simplify right side
    561,745.46x = 153,931,061,900.40
  5. Step 5: Solve for x
    x = 153,931,061,900.40/561,745.46
  6. Step 6: Final answer
    x = 274,022.80

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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.