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Finding the Fourth Proportional to 709,830, 1,064,754.23 and 204,399.27

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Solution

The fourth proportional to 709,830, 1,064,754.23 and 204,399.27 is: 306,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,830 : 1,064,754.23 = 204,399.27 : x
  2. Step 2: Convert to fraction form
    709,830/1,064,754.23 = 204,399.27/x
  3. Step 3: Cross multiply
    709,830x = 1,064,754.23 × 204,399.27
  4. Step 4: Simplify right side
    709,830x = 217,634,987,341.41
  5. Step 5: Solve for x
    x = 217,634,987,341.41/709,830
  6. Step 6: Final answer
    x = 306,601.56

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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.