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Finding the Fourth Proportional to 301,796.34, 416,529.75 and 174,545.34

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Solution

The fourth proportional to 301,796.34, 416,529.75 and 174,545.34 is: 240,901.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,796.34 : 416,529.75 = 174,545.34 : x
  2. Step 2: Convert to fraction form
    301,796.34/416,529.75 = 174,545.34/x
  3. Step 3: Cross multiply
    301,796.34x = 416,529.75 × 174,545.34
  4. Step 4: Simplify right side
    301,796.34x = 72,703,326,833.87
  5. Step 5: Solve for x
    x = 72,703,326,833.87/301,796.34
  6. Step 6: Final answer
    x = 240,901.95

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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.