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Finding the Fourth Proportional to 297,778.29, 410,934.33 and 161,813.76

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Solution

The fourth proportional to 297,778.29, 410,934.33 and 161,813.76 is: 223,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,778.29 : 410,934.33 = 161,813.76 : x
  2. Step 2: Convert to fraction form
    297,778.29/410,934.33 = 161,813.76/x
  3. Step 3: Cross multiply
    297,778.29x = 410,934.33 × 161,813.76
  4. Step 4: Simplify right side
    297,778.29x = 66,494,829,050.38
  5. Step 5: Solve for x
    x = 66,494,829,050.38/297,778.29
  6. Step 6: Final answer
    x = 223,303.15

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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.