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Finding the Fourth Proportional to 557,119.38, 768,824.73 and 302,470.59

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Solution

The fourth proportional to 557,119.38, 768,824.73 and 302,470.59 is: 417,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,119.38 : 768,824.73 = 302,470.59 : x
  2. Step 2: Convert to fraction form
    557,119.38/768,824.73 = 302,470.59/x
  3. Step 3: Cross multiply
    557,119.38x = 768,824.73 × 302,470.59
  4. Step 4: Simplify right side
    557,119.38x = 232,546,869,689.69
  5. Step 5: Solve for x
    x = 232,546,869,689.69/557,119.38
  6. Step 6: Final answer
    x = 417,409.41

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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.