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Finding the Fourth Proportional to 557,828.18, 769,802.98 and 303,179.38

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Solution

The fourth proportional to 557,828.18, 769,802.98 and 303,179.38 is: 418,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,828.18 : 769,802.98 = 303,179.38 : x
  2. Step 2: Convert to fraction form
    557,828.18/769,802.98 = 303,179.38/x
  3. Step 3: Cross multiply
    557,828.18x = 769,802.98 × 303,179.38
  4. Step 4: Simplify right side
    557,828.18x = 233,388,390,198.55
  5. Step 5: Solve for x
    x = 233,388,390,198.55/557,828.18
  6. Step 6: Final answer
    x = 418,387.59

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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.