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Finding the Fourth Proportional to 1,195,893, 1,793,845.98 and 309,429

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Solution

The fourth proportional to 1,195,893, 1,793,845.98 and 309,429 is: 464,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,893 : 1,793,845.98 = 309,429 : x
  2. Step 2: Convert to fraction form
    1,195,893/1,793,845.98 = 309,429/x
  3. Step 3: Cross multiply
    1,195,893x = 1,793,845.98 × 309,429
  4. Step 4: Simplify right side
    1,195,893x = 555,067,967,745.42
  5. Step 5: Solve for x
    x = 555,067,967,745.42/1,195,893
  6. Step 6: Final answer
    x = 464,145.18

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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.