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Finding the Fourth Proportional to 691,651.86, 954,335.21 and 419,862.84

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Solution

The fourth proportional to 691,651.86, 954,335.21 and 419,862.84 is: 579,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,651.86 : 954,335.21 = 419,862.84 : x
  2. Step 2: Convert to fraction form
    691,651.86/954,335.21 = 419,862.84/x
  3. Step 3: Cross multiply
    691,651.86x = 954,335.21 × 419,862.84
  4. Step 4: Simplify right side
    691,651.86x = 400,689,889,483.28
  5. Step 5: Solve for x
    x = 400,689,889,483.28/691,651.86
  6. Step 6: Final answer
    x = 579,323.09

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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.