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Finding the Fourth Proportional to 259,794, 388,565.24 and 152,923.28

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Solution

The fourth proportional to 259,794, 388,565.24 and 152,923.28 is: 228,722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,794 : 388,565.24 = 152,923.28 : x
  2. Step 2: Convert to fraction form
    259,794/388,565.24 = 152,923.28/x
  3. Step 3: Cross multiply
    259,794x = 388,565.24 × 152,923.28
  4. Step 4: Simplify right side
    259,794x = 59,420,668,287.34
  5. Step 5: Solve for x
    x = 59,420,668,287.34/259,794
  6. Step 6: Final answer
    x = 228,722.25

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