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Finding the Fourth Proportional to 401,617.16, 602,397.26 and 188,431.88

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Solution

The fourth proportional to 401,617.16, 602,397.26 and 188,431.88 is: 282,634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,617.16 : 602,397.26 = 188,431.88 : x
  2. Step 2: Convert to fraction form
    401,617.16/602,397.26 = 188,431.88/x
  3. Step 3: Cross multiply
    401,617.16x = 602,397.26 × 188,431.88
  4. Step 4: Simplify right side
    401,617.16x = 113,510,848,208.65
  5. Step 5: Solve for x
    x = 113,510,848,208.65/401,617.16
  6. Step 6: Final answer
    x = 282,634.46

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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.