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Finding the Fourth Proportional to 294,731.52, 406,730.40 and 167,408.16

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Solution

The fourth proportional to 294,731.52, 406,730.40 and 167,408.16 is: 231,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,731.52 : 406,730.40 = 167,408.16 : x
  2. Step 2: Convert to fraction form
    294,731.52/406,730.40 = 167,408.16/x
  3. Step 3: Cross multiply
    294,731.52x = 406,730.40 × 167,408.16
  4. Step 4: Simplify right side
    294,731.52x = 68,089,987,880.06
  5. Step 5: Solve for x
    x = 68,089,987,880.06/294,731.52
  6. Step 6: Final answer
    x = 231,023.77

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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.