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Finding the Fourth Proportional to 297,893.24, 411,097.45 and 161,927.45

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Solution

The fourth proportional to 297,893.24, 411,097.45 and 161,927.45 is: 223,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,893.24 : 411,097.45 = 161,927.45 : x
  2. Step 2: Convert to fraction form
    297,893.24/411,097.45 = 161,927.45/x
  3. Step 3: Cross multiply
    297,893.24x = 411,097.45 × 161,927.45
  4. Step 4: Simplify right side
    297,893.24x = 66,567,963,932.77
  5. Step 5: Solve for x
    x = 66,567,963,932.77/297,893.24
  6. Step 6: Final answer
    x = 223,462.48

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1.5x scale

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.