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Finding the Fourth Proportional to 524,321.14, 723,556.32 and 294,878.38

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Solution

The fourth proportional to 524,321.14, 723,556.32 and 294,878.38 is: 406,928.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,321.14 : 723,556.32 = 294,878.38 : x
  2. Step 2: Convert to fraction form
    524,321.14/723,556.32 = 294,878.38/x
  3. Step 3: Cross multiply
    524,321.14x = 723,556.32 × 294,878.38
  4. Step 4: Simplify right side
    524,321.14x = 213,361,115,480.36
  5. Step 5: Solve for x
    x = 213,361,115,480.36/524,321.14
  6. Step 6: Final answer
    x = 406,928.31

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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.