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Finding the Fourth Proportional to 297,842.72, 446,655.93 and 163,006.44

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Solution

The fourth proportional to 297,842.72, 446,655.93 and 163,006.44 is: 244,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,842.72 : 446,655.93 = 163,006.44 : x
  2. Step 2: Convert to fraction form
    297,842.72/446,655.93 = 163,006.44/x
  3. Step 3: Cross multiply
    297,842.72x = 446,655.93 × 163,006.44
  4. Step 4: Simplify right side
    297,842.72x = 72,807,793,054.19
  5. Step 5: Solve for x
    x = 72,807,793,054.19/297,842.72
  6. Step 6: Final answer
    x = 244,450.47

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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.