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Finding the Fourth Proportional to 451,632.31, 677,710.91 and 202,314.31

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Solution

The fourth proportional to 451,632.31, 677,710.91 and 202,314.31 is: 303,589.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,632.31 : 677,710.91 = 202,314.31 : x
  2. Step 2: Convert to fraction form
    451,632.31/677,710.91 = 202,314.31/x
  3. Step 3: Cross multiply
    451,632.31x = 677,710.91 × 202,314.31
  4. Step 4: Simplify right side
    451,632.31x = 137,110,616,830.40
  5. Step 5: Solve for x
    x = 137,110,616,830.40/451,632.31
  6. Step 6: Final answer
    x = 303,589.03

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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.