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Finding the Fourth Proportional to 471,738.33, 707,016.80 and 371,502.65

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Solution

The fourth proportional to 471,738.33, 707,016.80 and 371,502.65 is: 556,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,738.33 : 707,016.80 = 371,502.65 : x
  2. Step 2: Convert to fraction form
    471,738.33/707,016.80 = 371,502.65/x
  3. Step 3: Cross multiply
    471,738.33x = 707,016.80 × 371,502.65
  4. Step 4: Simplify right side
    471,738.33x = 262,658,617,490.82
  5. Step 5: Solve for x
    x = 262,658,617,490.82/471,738.33
  6. Step 6: Final answer
    x = 556,788.80

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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.