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Finding the Fourth Proportional to 557,670.98, 769,590.65 and 303,022.19

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Solution

The fourth proportional to 557,670.98, 769,590.65 and 303,022.19 is: 418,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,670.98 : 769,590.65 = 303,022.19 : x
  2. Step 2: Convert to fraction form
    557,670.98/769,590.65 = 303,022.19/x
  3. Step 3: Cross multiply
    557,670.98x = 769,590.65 × 303,022.19
  4. Step 4: Simplify right side
    557,670.98x = 233,203,042,651.41
  5. Step 5: Solve for x
    x = 233,203,042,651.41/557,670.98
  6. Step 6: Final answer
    x = 418,173.17

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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.