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Finding the Fourth Proportional to 537,633.72, 806,567.22 and 163,647

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Solution

The fourth proportional to 537,633.72, 806,567.22 and 163,647 is: 245,506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,633.72 : 806,567.22 = 163,647 : x
  2. Step 2: Convert to fraction form
    537,633.72/806,567.22 = 163,647/x
  3. Step 3: Cross multiply
    537,633.72x = 806,567.22 × 163,647
  4. Step 4: Simplify right side
    537,633.72x = 131,992,305,851.34
  5. Step 5: Solve for x
    x = 131,992,305,851.34/537,633.72
  6. Step 6: Final answer
    x = 245,506.00

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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.