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Finding the Fourth Proportional to 467,896.38, 701,907.12 and 164,218.47

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Solution

The fourth proportional to 467,896.38, 701,907.12 and 164,218.47 is: 246,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,896.38 : 701,907.12 = 164,218.47 : x
  2. Step 2: Convert to fraction form
    467,896.38/701,907.12 = 164,218.47/x
  3. Step 3: Cross multiply
    467,896.38x = 701,907.12 × 164,218.47
  4. Step 4: Simplify right side
    467,896.38x = 115,266,113,328.51
  5. Step 5: Solve for x
    x = 115,266,113,328.51/467,896.38
  6. Step 6: Final answer
    x = 246,349.66

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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.