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Finding the Fourth Proportional to 557,409.36, 769,227.12 and 302,764.80

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Solution

The fourth proportional to 557,409.36, 769,227.12 and 302,764.80 is: 417,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,409.36 : 769,227.12 = 302,764.80 : x
  2. Step 2: Convert to fraction form
    557,409.36/769,227.12 = 302,764.80/x
  3. Step 3: Cross multiply
    557,409.36x = 769,227.12 × 302,764.80
  4. Step 4: Simplify right side
    557,409.36x = 232,894,895,141.38
  5. Step 5: Solve for x
    x = 232,894,895,141.38/557,409.36
  6. Step 6: Final answer
    x = 417,816.62

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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.