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Finding the Fourth Proportional to 294,030.72, 405,738 and 164,951.54

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Solution

The fourth proportional to 294,030.72, 405,738 and 164,951.54 is: 227,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,030.72 : 405,738 = 164,951.54 : x
  2. Step 2: Convert to fraction form
    294,030.72/405,738 = 164,951.54/x
  3. Step 3: Cross multiply
    294,030.72x = 405,738 × 164,951.54
  4. Step 4: Simplify right side
    294,030.72x = 66,927,107,936.52
  5. Step 5: Solve for x
    x = 66,927,107,936.52/294,030.72
  6. Step 6: Final answer
    x = 227,619.44

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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.