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Finding the Fourth Proportional to 294,522.56, 406,494.40 and 173,656.64

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Solution

The fourth proportional to 294,522.56, 406,494.40 and 173,656.64 is: 239,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,522.56 : 406,494.40 = 173,656.64 : x
  2. Step 2: Convert to fraction form
    294,522.56/406,494.40 = 173,656.64/x
  3. Step 3: Cross multiply
    294,522.56x = 406,494.40 × 173,656.64
  4. Step 4: Simplify right side
    294,522.56x = 70,590,451,682.82
  5. Step 5: Solve for x
    x = 70,590,451,682.82/294,522.56
  6. Step 6: Final answer
    x = 239,677.57

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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.