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Finding the Fourth Proportional to 407,095.37, 610,644.62 and 170,271.92

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Solution

The fourth proportional to 407,095.37, 610,644.62 and 170,271.92 is: 255,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,095.37 : 610,644.62 = 170,271.92 : x
  2. Step 2: Convert to fraction form
    407,095.37/610,644.62 = 170,271.92/x
  3. Step 3: Cross multiply
    407,095.37x = 610,644.62 × 170,271.92
  4. Step 4: Simplify right side
    407,095.37x = 103,975,633,837.36
  5. Step 5: Solve for x
    x = 103,975,633,837.36/407,095.37
  6. Step 6: Final answer
    x = 255,408.54

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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.