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Finding the Fourth Proportional to 397,072.80, 594,831.60 and 238,831.20

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Solution

The fourth proportional to 397,072.80, 594,831.60 and 238,831.20 is: 357,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,072.80 : 594,831.60 = 238,831.20 : x
  2. Step 2: Convert to fraction form
    397,072.80/594,831.60 = 238,831.20/x
  3. Step 3: Cross multiply
    397,072.80x = 594,831.60 × 238,831.20
  4. Step 4: Simplify right side
    397,072.80x = 142,064,344,825.92
  5. Step 5: Solve for x
    x = 142,064,344,825.92/397,072.80
  6. Step 6: Final answer
    x = 357,779.09

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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.