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Finding the Fourth Proportional to 847,074.07, 1,168,978.94 and 465,097.51

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Solution

The fourth proportional to 847,074.07, 1,168,978.94 and 465,097.51 is: 641,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,074.07 : 1,168,978.94 = 465,097.51 : x
  2. Step 2: Convert to fraction form
    847,074.07/1,168,978.94 = 465,097.51/x
  3. Step 3: Cross multiply
    847,074.07x = 1,168,978.94 × 465,097.51
  4. Step 4: Simplify right side
    847,074.07x = 543,689,194,236.44
  5. Step 5: Solve for x
    x = 543,689,194,236.44/847,074.07
  6. Step 6: Final answer
    x = 641,843.75

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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.