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Finding the Fourth Proportional to 451,958.90, 677,977.76 and 148,262

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Solution

The fourth proportional to 451,958.90, 677,977.76 and 148,262 is: 222,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,958.90 : 677,977.76 = 148,262 : x
  2. Step 2: Convert to fraction form
    451,958.90/677,977.76 = 148,262/x
  3. Step 3: Cross multiply
    451,958.90x = 677,977.76 × 148,262
  4. Step 4: Simplify right side
    451,958.90x = 100,518,338,653.12
  5. Step 5: Solve for x
    x = 100,518,338,653.12/451,958.90
  6. Step 6: Final answer
    x = 222,405.93

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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.