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Finding the Fourth Proportional to 446,789.79, 670,371.53 and 194,282.65

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Solution

The fourth proportional to 446,789.79, 670,371.53 and 194,282.65 is: 291,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,789.79 : 670,371.53 = 194,282.65 : x
  2. Step 2: Convert to fraction form
    446,789.79/670,371.53 = 194,282.65/x
  3. Step 3: Cross multiply
    446,789.79x = 670,371.53 × 194,282.65
  4. Step 4: Simplify right side
    446,789.79x = 130,241,557,199.51
  5. Step 5: Solve for x
    x = 130,241,557,199.51/446,789.79
  6. Step 6: Final answer
    x = 291,505.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.