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Finding the Fourth Proportional to 457,247.84, 685,871.82 and 190,863.03

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Solution

The fourth proportional to 457,247.84, 685,871.82 and 190,863.03 is: 286,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,247.84 : 685,871.82 = 190,863.03 : x
  2. Step 2: Convert to fraction form
    457,247.84/685,871.82 = 190,863.03/x
  3. Step 3: Cross multiply
    457,247.84x = 685,871.82 × 190,863.03
  4. Step 4: Simplify right side
    457,247.84x = 130,907,576,328.83
  5. Step 5: Solve for x
    x = 130,907,576,328.83/457,247.84
  6. Step 6: Final answer
    x = 286,294.58

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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.