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Finding the Fourth Proportional to 540,609.78, 746,011.38 and 298,878.24

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Solution

The fourth proportional to 540,609.78, 746,011.38 and 298,878.24 is: 412,435.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,609.78 : 746,011.38 = 298,878.24 : x
  2. Step 2: Convert to fraction form
    540,609.78/746,011.38 = 298,878.24/x
  3. Step 3: Cross multiply
    540,609.78x = 746,011.38 × 298,878.24
  4. Step 4: Simplify right side
    540,609.78x = 222,966,568,274.37
  5. Step 5: Solve for x
    x = 222,966,568,274.37/540,609.78
  6. Step 6: Final answer
    x = 412,435.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.