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Finding the Fourth Proportional to 508,343.96, 761,983.86 and 171,268.14

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Solution

The fourth proportional to 508,343.96, 761,983.86 and 171,268.14 is: 256,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,343.96 : 761,983.86 = 171,268.14 : x
  2. Step 2: Convert to fraction form
    508,343.96/761,983.86 = 171,268.14/x
  3. Step 3: Cross multiply
    508,343.96x = 761,983.86 × 171,268.14
  4. Step 4: Simplify right side
    508,343.96x = 130,503,558,412.22
  5. Step 5: Solve for x
    x = 130,503,558,412.22/508,343.96
  6. Step 6: Final answer
    x = 256,722.94

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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.