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Finding the Fourth Proportional to 355,297.20, 532,945.80 and 189,409.20

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Solution

The fourth proportional to 355,297.20, 532,945.80 and 189,409.20 is: 284,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,297.20 : 532,945.80 = 189,409.20 : x
  2. Step 2: Convert to fraction form
    355,297.20/532,945.80 = 189,409.20/x
  3. Step 3: Cross multiply
    355,297.20x = 532,945.80 × 189,409.20
  4. Step 4: Simplify right side
    355,297.20x = 100,944,837,621.36
  5. Step 5: Solve for x
    x = 100,944,837,621.36/355,297.20
  6. Step 6: Final answer
    x = 284,113.80

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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.