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Finding the Fourth Proportional to 300,762, 415,051.65 and 179,908.38

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Solution

The fourth proportional to 300,762, 415,051.65 and 179,908.38 is: 248,273.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,762 : 415,051.65 = 179,908.38 : x
  2. Step 2: Convert to fraction form
    300,762/415,051.65 = 179,908.38/x
  3. Step 3: Cross multiply
    300,762x = 415,051.65 × 179,908.38
  4. Step 4: Simplify right side
    300,762x = 74,671,269,967.83
  5. Step 5: Solve for x
    x = 74,671,269,967.83/300,762
  6. Step 6: Final answer
    x = 248,273.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.