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Finding the Fourth Proportional to 589,884, 884,829.24 and 146,652

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Solution

The fourth proportional to 589,884, 884,829.24 and 146,652 is: 219,978.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,884 : 884,829.24 = 146,652 : x
  2. Step 2: Convert to fraction form
    589,884/884,829.24 = 146,652/x
  3. Step 3: Cross multiply
    589,884x = 884,829.24 × 146,652
  4. Step 4: Simplify right side
    589,884x = 129,761,977,704.48
  5. Step 5: Solve for x
    x = 129,761,977,704.48/589,884
  6. Step 6: Final answer
    x = 219,978.81

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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.