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Finding the Fourth Proportional to 256,197.66, 383,782.41 and 235,270.77

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Solution

The fourth proportional to 256,197.66, 383,782.41 and 235,270.77 is: 352,434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,197.66 : 383,782.41 = 235,270.77 : x
  2. Step 2: Convert to fraction form
    256,197.66/383,782.41 = 235,270.77/x
  3. Step 3: Cross multiply
    256,197.66x = 383,782.41 × 235,270.77
  4. Step 4: Simplify right side
    256,197.66x = 90,292,783,113.16
  5. Step 5: Solve for x
    x = 90,292,783,113.16/256,197.66
  6. Step 6: Final answer
    x = 352,434.07

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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.