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Finding the Fourth Proportional to 1,656,909, 2,485,393.74 and 519,645.78

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Solution

The fourth proportional to 1,656,909, 2,485,393.74 and 519,645.78 is: 779,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656,909 : 2,485,393.74 = 519,645.78 : x
  2. Step 2: Convert to fraction form
    1,656,909/2,485,393.74 = 519,645.78/x
  3. Step 3: Cross multiply
    1,656,909x = 2,485,393.74 × 519,645.78
  4. Step 4: Simplify right side
    1,656,909x = 1,291,524,368,629.42
  5. Step 5: Solve for x
    x = 1,291,524,368,629.42/1,656,909
  6. Step 6: Final answer
    x = 779,478.15

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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.