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Finding the Fourth Proportional to 423,813.74, 584,871.23 and 232,834.37

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Solution

The fourth proportional to 423,813.74, 584,871.23 and 232,834.37 is: 321,315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,813.74 : 584,871.23 = 232,834.37 : x
  2. Step 2: Convert to fraction form
    423,813.74/584,871.23 = 232,834.37/x
  3. Step 3: Cross multiply
    423,813.74x = 584,871.23 × 232,834.37
  4. Step 4: Simplify right side
    423,813.74x = 136,178,122,025.91
  5. Step 5: Solve for x
    x = 136,178,122,025.91/423,813.74
  6. Step 6: Final answer
    x = 321,315.97

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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.