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Finding the Fourth Proportional to 538,907.94, 743,683.14 and 297,212.94

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Solution

The fourth proportional to 538,907.94, 743,683.14 and 297,212.94 is: 410,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,907.94 : 743,683.14 = 297,212.94 : x
  2. Step 2: Convert to fraction form
    538,907.94/743,683.14 = 297,212.94/x
  3. Step 3: Cross multiply
    538,907.94x = 743,683.14 × 297,212.94
  4. Step 4: Simplify right side
    538,907.94x = 221,032,252,467.83
  5. Step 5: Solve for x
    x = 221,032,252,467.83/538,907.94
  6. Step 6: Final answer
    x = 410,148.44

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1.5x scale

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.