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Finding the Fourth Proportional to 358,793.40, 538,146.90 and 148,409.40

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Solution

The fourth proportional to 358,793.40, 538,146.90 and 148,409.40 is: 222,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,793.40 : 538,146.90 = 148,409.40 : x
  2. Step 2: Convert to fraction form
    358,793.40/538,146.90 = 148,409.40/x
  3. Step 3: Cross multiply
    358,793.40x = 538,146.90 × 148,409.40
  4. Step 4: Simplify right side
    358,793.40x = 79,866,058,540.86
  5. Step 5: Solve for x
    x = 79,866,058,540.86/358,793.40
  6. Step 6: Final answer
    x = 222,596.23

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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.