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Finding the Fourth Proportional to 294,312.25, 406,164.24 and 173,458.63

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Solution

The fourth proportional to 294,312.25, 406,164.24 and 173,458.63 is: 239,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,312.25 : 406,164.24 = 173,458.63 : x
  2. Step 2: Convert to fraction form
    294,312.25/406,164.24 = 173,458.63/x
  3. Step 3: Cross multiply
    294,312.25x = 406,164.24 × 173,458.63
  4. Step 4: Simplify right side
    294,312.25x = 70,452,692,625.39
  5. Step 5: Solve for x
    x = 70,452,692,625.39/294,312.25
  6. Step 6: Final answer
    x = 239,380.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.