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Finding the Fourth Proportional to 397,133.40, 548,123.79 and 235,957.42

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Solution

The fourth proportional to 397,133.40, 548,123.79 and 235,957.42 is: 325,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,133.40 : 548,123.79 = 235,957.42 : x
  2. Step 2: Convert to fraction form
    397,133.40/548,123.79 = 235,957.42/x
  3. Step 3: Cross multiply
    397,133.40x = 548,123.79 × 235,957.42
  4. Step 4: Simplify right side
    397,133.40x = 129,333,875,329.02
  5. Step 5: Solve for x
    x = 129,333,875,329.02/397,133.40
  6. Step 6: Final answer
    x = 325,668.59

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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.