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Finding the Fourth Proportional to 294,292.44, 406,111.32 and 166,975.02

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Solution

The fourth proportional to 294,292.44, 406,111.32 and 166,975.02 is: 230,418.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,292.44 : 406,111.32 = 166,975.02 : x
  2. Step 2: Convert to fraction form
    294,292.44/406,111.32 = 166,975.02/x
  3. Step 3: Cross multiply
    294,292.44x = 406,111.32 × 166,975.02
  4. Step 4: Simplify right side
    294,292.44x = 67,810,445,779.23
  5. Step 5: Solve for x
    x = 67,810,445,779.23/294,292.44
  6. Step 6: Final answer
    x = 230,418.58

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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.