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Finding the Fourth Proportional to 524,099.26, 786,148.32 and 164,272.60

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Solution

The fourth proportional to 524,099.26, 786,148.32 and 164,272.60 is: 246,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,099.26 : 786,148.32 = 164,272.60 : x
  2. Step 2: Convert to fraction form
    524,099.26/786,148.32 = 164,272.60/x
  3. Step 3: Cross multiply
    524,099.26x = 786,148.32 × 164,272.60
  4. Step 4: Simplify right side
    524,099.26x = 129,142,628,512.03
  5. Step 5: Solve for x
    x = 129,142,628,512.03/524,099.26
  6. Step 6: Final answer
    x = 246,408.72

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1.5x scale

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.