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Finding the Fourth Proportional to 477,837.56, 659,141.52 and 298,678.52

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Solution

The fourth proportional to 477,837.56, 659,141.52 and 298,678.52 is: 412,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,837.56 : 659,141.52 = 298,678.52 : x
  2. Step 2: Convert to fraction form
    477,837.56/659,141.52 = 298,678.52/x
  3. Step 3: Cross multiply
    477,837.56x = 659,141.52 × 298,678.52
  4. Step 4: Simplify right side
    477,837.56x = 196,871,413,664.15
  5. Step 5: Solve for x
    x = 196,871,413,664.15/477,837.56
  6. Step 6: Final answer
    x = 412,004.89

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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.