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Finding the Fourth Proportional to 427,808.22, 590,375.52 and 234,228.48

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Solution

The fourth proportional to 427,808.22, 590,375.52 and 234,228.48 is: 323,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,808.22 : 590,375.52 = 234,228.48 : x
  2. Step 2: Convert to fraction form
    427,808.22/590,375.52 = 234,228.48/x
  3. Step 3: Cross multiply
    427,808.22x = 590,375.52 × 234,228.48
  4. Step 4: Simplify right side
    427,808.22x = 138,282,760,678.81
  5. Step 5: Solve for x
    x = 138,282,760,678.81/427,808.22
  6. Step 6: Final answer
    x = 323,235.40

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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.