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Finding the Fourth Proportional to 306,177.44, 458,838.48 and 148,364

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Solution

The fourth proportional to 306,177.44, 458,838.48 and 148,364 is: 222,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,177.44 : 458,838.48 = 148,364 : x
  2. Step 2: Convert to fraction form
    306,177.44/458,838.48 = 148,364/x
  3. Step 3: Cross multiply
    306,177.44x = 458,838.48 × 148,364
  4. Step 4: Simplify right side
    306,177.44x = 68,075,112,246.72
  5. Step 5: Solve for x
    x = 68,075,112,246.72/306,177.44
  6. Step 6: Final answer
    x = 222,338.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.