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Finding the Fourth Proportional to 301,931.82, 416,758.77 and 194,501.52

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Solution

The fourth proportional to 301,931.82, 416,758.77 and 194,501.52 is: 268,471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,931.82 : 416,758.77 = 194,501.52 : x
  2. Step 2: Convert to fraction form
    301,931.82/416,758.77 = 194,501.52/x
  3. Step 3: Cross multiply
    301,931.82x = 416,758.77 × 194,501.52
  4. Step 4: Simplify right side
    301,931.82x = 81,060,214,238.33
  5. Step 5: Solve for x
    x = 81,060,214,238.33/301,931.82
  6. Step 6: Final answer
    x = 268,471.92

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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.