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Finding the Fourth Proportional to 451,823.78, 677,376 and 223,959.02

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Solution

The fourth proportional to 451,823.78, 677,376 and 223,959.02 is: 335,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,823.78 : 677,376 = 223,959.02 : x
  2. Step 2: Convert to fraction form
    451,823.78/677,376 = 223,959.02/x
  3. Step 3: Cross multiply
    451,823.78x = 677,376 × 223,959.02
  4. Step 4: Simplify right side
    451,823.78x = 151,704,465,131.52
  5. Step 5: Solve for x
    x = 151,704,465,131.52/451,823.78
  6. Step 6: Final answer
    x = 335,760.25

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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.