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Finding the Fourth Proportional to 423,391.41, 584,276.63 and 232,393.41

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Solution

The fourth proportional to 423,391.41, 584,276.63 and 232,393.41 is: 320,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,391.41 : 584,276.63 = 232,393.41 : x
  2. Step 2: Convert to fraction form
    423,391.41/584,276.63 = 232,393.41/x
  3. Step 3: Cross multiply
    423,391.41x = 584,276.63 × 232,393.41
  4. Step 4: Simplify right side
    423,391.41x = 135,782,037,267.04
  5. Step 5: Solve for x
    x = 135,782,037,267.04/423,391.41
  6. Step 6: Final answer
    x = 320,700.97

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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.