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Finding the Fourth Proportional to 467,903.63, 701,918 and 164,225.72

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Solution

The fourth proportional to 467,903.63, 701,918 and 164,225.72 is: 246,360.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,903.63 : 701,918 = 164,225.72 : x
  2. Step 2: Convert to fraction form
    467,903.63/701,918 = 164,225.72/x
  3. Step 3: Cross multiply
    467,903.63x = 701,918 × 164,225.72
  4. Step 4: Simplify right side
    467,903.63x = 115,272,988,930.96
  5. Step 5: Solve for x
    x = 115,272,988,930.96/467,903.63
  6. Step 6: Final answer
    x = 246,360.54

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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.