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Finding the Fourth Proportional to 297,776.98, 410,931.43 and 161,810.92

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Solution

The fourth proportional to 297,776.98, 410,931.43 and 161,810.92 is: 223,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,776.98 : 410,931.43 = 161,810.92 : x
  2. Step 2: Convert to fraction form
    297,776.98/410,931.43 = 161,810.92/x
  3. Step 3: Cross multiply
    297,776.98x = 410,931.43 × 161,810.92
  4. Step 4: Simplify right side
    297,776.98x = 66,493,192,745.22
  5. Step 5: Solve for x
    x = 66,493,192,745.22/297,776.98
  6. Step 6: Final answer
    x = 223,298.63

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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.