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Finding the Fourth Proportional to 1,098,705, 1,648,067.76 and 388,853.40

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Solution

The fourth proportional to 1,098,705, 1,648,067.76 and 388,853.40 is: 583,283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,705 : 1,648,067.76 = 388,853.40 : x
  2. Step 2: Convert to fraction form
    1,098,705/1,648,067.76 = 388,853.40/x
  3. Step 3: Cross multiply
    1,098,705x = 1,648,067.76 × 388,853.40
  4. Step 4: Simplify right side
    1,098,705x = 640,856,751,906.38
  5. Step 5: Solve for x
    x = 640,856,751,906.38/1,098,705
  6. Step 6: Final answer
    x = 583,283.73

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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.