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Finding the Fourth Proportional to 529,652.12, 794,228.46 and 192,455

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Solution

The fourth proportional to 529,652.12, 794,228.46 and 192,455 is: 288,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,652.12 : 794,228.46 = 192,455 : x
  2. Step 2: Convert to fraction form
    529,652.12/794,228.46 = 192,455/x
  3. Step 3: Cross multiply
    529,652.12x = 794,228.46 × 192,455
  4. Step 4: Simplify right side
    529,652.12x = 152,853,238,269.30
  5. Step 5: Solve for x
    x = 152,853,238,269.30/529,652.12
  6. Step 6: Final answer
    x = 288,591.76

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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.