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Finding the Fourth Proportional to 297,506.82, 410,458.03 and 190,138.80

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Solution

The fourth proportional to 297,506.82, 410,458.03 and 190,138.80 is: 262,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,506.82 : 410,458.03 = 190,138.80 : x
  2. Step 2: Convert to fraction form
    297,506.82/410,458.03 = 190,138.80/x
  3. Step 3: Cross multiply
    297,506.82x = 410,458.03 × 190,138.80
  4. Step 4: Simplify right side
    297,506.82x = 78,043,994,746.93
  5. Step 5: Solve for x
    x = 78,043,994,746.93/297,506.82
  6. Step 6: Final answer
    x = 262,326.74

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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.