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Finding the Fourth Proportional to 278,582.40, 384,443.72 and 151,258

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Solution

The fourth proportional to 278,582.40, 384,443.72 and 151,258 is: 208,736.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,582.40 : 384,443.72 = 151,258 : x
  2. Step 2: Convert to fraction form
    278,582.40/384,443.72 = 151,258/x
  3. Step 3: Cross multiply
    278,582.40x = 384,443.72 × 151,258
  4. Step 4: Simplify right side
    278,582.40x = 58,150,188,199.76
  5. Step 5: Solve for x
    x = 58,150,188,199.76/278,582.40
  6. Step 6: Final answer
    x = 208,736.04

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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.