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Finding the Fourth Proportional to 723,309.36, 998,199.32 and 413,239.06

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Solution

The fourth proportional to 723,309.36, 998,199.32 and 413,239.06 is: 570,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,309.36 : 998,199.32 = 413,239.06 : x
  2. Step 2: Convert to fraction form
    723,309.36/998,199.32 = 413,239.06/x
  3. Step 3: Cross multiply
    723,309.36x = 998,199.32 × 413,239.06
  4. Step 4: Simplify right side
    723,309.36x = 412,494,943,698.44
  5. Step 5: Solve for x
    x = 412,494,943,698.44/723,309.36
  6. Step 6: Final answer
    x = 570,288.41

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1.5x scale

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.