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Finding the Fourth Proportional to 285,507.52, 427,794.06 and 172,846.27

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Solution

The fourth proportional to 285,507.52, 427,794.06 and 172,846.27 is: 258,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,507.52 : 427,794.06 = 172,846.27 : x
  2. Step 2: Convert to fraction form
    285,507.52/427,794.06 = 172,846.27/x
  3. Step 3: Cross multiply
    285,507.52x = 427,794.06 × 172,846.27
  4. Step 4: Simplify right side
    285,507.52x = 73,942,607,599.16
  5. Step 5: Solve for x
    x = 73,942,607,599.16/285,507.52
  6. Step 6: Final answer
    x = 258,986.55

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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.