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Finding the Fourth Proportional to 312,092.20, 468,138.30 and 298,970.20

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Solution

The fourth proportional to 312,092.20, 468,138.30 and 298,970.20 is: 448,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,092.20 : 468,138.30 = 298,970.20 : x
  2. Step 2: Convert to fraction form
    312,092.20/468,138.30 = 298,970.20/x
  3. Step 3: Cross multiply
    312,092.20x = 468,138.30 × 298,970.20
  4. Step 4: Simplify right side
    312,092.20x = 139,959,401,178.66
  5. Step 5: Solve for x
    x = 139,959,401,178.66/312,092.20
  6. Step 6: Final answer
    x = 448,455.30

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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.