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Finding the Fourth Proportional to 297,604.83, 410,699.55 and 161,638.86

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Solution

The fourth proportional to 297,604.83, 410,699.55 and 161,638.86 is: 223,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,604.83 : 410,699.55 = 161,638.86 : x
  2. Step 2: Convert to fraction form
    297,604.83/410,699.55 = 161,638.86/x
  3. Step 3: Cross multiply
    297,604.83x = 410,699.55 × 161,638.86
  4. Step 4: Simplify right side
    297,604.83x = 66,385,007,064.51
  5. Step 5: Solve for x
    x = 66,385,007,064.51/297,604.83
  6. Step 6: Final answer
    x = 223,064.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.