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Finding the Fourth Proportional to 1,315,414.22, 1,973,176.21 and 416,836.07

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Solution

The fourth proportional to 1,315,414.22, 1,973,176.21 and 416,836.07 is: 625,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315,414.22 : 1,973,176.21 = 416,836.07 : x
  2. Step 2: Convert to fraction form
    1,315,414.22/1,973,176.21 = 416,836.07/x
  3. Step 3: Cross multiply
    1,315,414.22x = 1,973,176.21 × 416,836.07
  4. Step 4: Simplify right side
    1,315,414.22x = 822,491,015,751.81
  5. Step 5: Solve for x
    x = 822,491,015,751.81/1,315,414.22
  6. Step 6: Final answer
    x = 625,271.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.