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Finding the Fourth Proportional to 401,584.14, 602,135.64 and 127,912.32

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Solution

The fourth proportional to 401,584.14, 602,135.64 and 127,912.32 is: 191,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,584.14 : 602,135.64 = 127,912.32 : x
  2. Step 2: Convert to fraction form
    401,584.14/602,135.64 = 127,912.32/x
  3. Step 3: Cross multiply
    401,584.14x = 602,135.64 × 127,912.32
  4. Step 4: Simplify right side
    401,584.14x = 77,020,566,667.08
  5. Step 5: Solve for x
    x = 77,020,566,667.08/401,584.14
  6. Step 6: Final answer
    x = 191,791.85

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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.