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Finding the Fourth Proportional to 431,640, 595,670.64 and 240,632.28

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Solution

The fourth proportional to 431,640, 595,670.64 and 240,632.28 is: 332,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,640 : 595,670.64 = 240,632.28 : x
  2. Step 2: Convert to fraction form
    431,640/595,670.64 = 240,632.28/x
  3. Step 3: Cross multiply
    431,640x = 595,670.64 × 240,632.28
  4. Step 4: Simplify right side
    431,640x = 143,337,584,232.26
  5. Step 5: Solve for x
    x = 143,337,584,232.26/431,640
  6. Step 6: Final answer
    x = 332,076.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.