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Finding the Fourth Proportional to 254,009.22, 380,936.04 and 175,627.14

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Solution

The fourth proportional to 254,009.22, 380,936.04 and 175,627.14 is: 263,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,009.22 : 380,936.04 = 175,627.14 : x
  2. Step 2: Convert to fraction form
    254,009.22/380,936.04 = 175,627.14/x
  3. Step 3: Cross multiply
    254,009.22x = 380,936.04 × 175,627.14
  4. Step 4: Simplify right side
    254,009.22x = 66,902,707,228.13
  5. Step 5: Solve for x
    x = 66,902,707,228.13/254,009.22
  6. Step 6: Final answer
    x = 263,386.92

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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.