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Finding the Fourth Proportional to 286,533.28, 395,429.34 and 159,211

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Solution

The fourth proportional to 286,533.28, 395,429.34 and 159,211 is: 219,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,533.28 : 395,429.34 = 159,211 : x
  2. Step 2: Convert to fraction form
    286,533.28/395,429.34 = 159,211/x
  3. Step 3: Cross multiply
    286,533.28x = 395,429.34 × 159,211
  4. Step 4: Simplify right side
    286,533.28x = 62,956,700,650.74
  5. Step 5: Solve for x
    x = 62,956,700,650.74/286,533.28
  6. Step 6: Final answer
    x = 219,718.63

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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.