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Finding the Fourth Proportional to 657,886.20, 985,079.70 and 419,940.60

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Solution

The fourth proportional to 657,886.20, 985,079.70 and 419,940.60 is: 628,794.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,886.20 : 985,079.70 = 419,940.60 : x
  2. Step 2: Convert to fraction form
    657,886.20/985,079.70 = 419,940.60/x
  3. Step 3: Cross multiply
    657,886.20x = 985,079.70 × 419,940.60
  4. Step 4: Simplify right side
    657,886.20x = 413,674,960,265.82
  5. Step 5: Solve for x
    x = 413,674,960,265.82/657,886.20
  6. Step 6: Final answer
    x = 628,794.10

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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.