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Finding the Fourth Proportional to 557,519.07, 769,314.61 and 309,154.78

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Solution

The fourth proportional to 557,519.07, 769,314.61 and 309,154.78 is: 426,599.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,519.07 : 769,314.61 = 309,154.78 : x
  2. Step 2: Convert to fraction form
    557,519.07/769,314.61 = 309,154.78/x
  3. Step 3: Cross multiply
    557,519.07x = 769,314.61 × 309,154.78
  4. Step 4: Simplify right side
    557,519.07x = 237,837,287,004.21
  5. Step 5: Solve for x
    x = 237,837,287,004.21/557,519.07
  6. Step 6: Final answer
    x = 426,599.38

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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.