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Finding the Fourth Proportional to 297,866.80, 416,080.40 and 297,866.80

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Solution

The fourth proportional to 297,866.80, 416,080.40 and 297,866.80 is: 416,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,866.80 : 416,080.40 = 297,866.80 : x
  2. Step 2: Convert to fraction form
    297,866.80/416,080.40 = 297,866.80/x
  3. Step 3: Cross multiply
    297,866.80x = 416,080.40 × 297,866.80
  4. Step 4: Simplify right side
    297,866.80x = 123,936,537,290.72
  5. Step 5: Solve for x
    x = 123,936,537,290.72/297,866.80
  6. Step 6: Final answer
    x = 416,080.40

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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.