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Finding the Fourth Proportional to 282,053.80, 423,080.70 and 262,370.80

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Solution

The fourth proportional to 282,053.80, 423,080.70 and 262,370.80 is: 393,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,053.80 : 423,080.70 = 262,370.80 : x
  2. Step 2: Convert to fraction form
    282,053.80/423,080.70 = 262,370.80/x
  3. Step 3: Cross multiply
    282,053.80x = 423,080.70 × 262,370.80
  4. Step 4: Simplify right side
    282,053.80x = 111,004,021,723.56
  5. Step 5: Solve for x
    x = 111,004,021,723.56/282,053.80
  6. Step 6: Final answer
    x = 393,556.20

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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.