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Finding the Fourth Proportional to 297,002.85, 416,853.75 and 297,002.85

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Solution

The fourth proportional to 297,002.85, 416,853.75 and 297,002.85 is: 416,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,002.85 : 416,853.75 = 297,002.85 : x
  2. Step 2: Convert to fraction form
    297,002.85/416,853.75 = 297,002.85/x
  3. Step 3: Cross multiply
    297,002.85x = 416,853.75 × 297,002.85
  4. Step 4: Simplify right side
    297,002.85x = 123,806,751,783.19
  5. Step 5: Solve for x
    x = 123,806,751,783.19/297,002.85
  6. Step 6: Final answer
    x = 416,853.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.