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Finding the Fourth Proportional to 486,123.40, 729,087.90 and 233,403.40

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Solution

The fourth proportional to 486,123.40, 729,087.90 and 233,403.40 is: 350,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,123.40 : 729,087.90 = 233,403.40 : x
  2. Step 2: Convert to fraction form
    486,123.40/729,087.90 = 233,403.40/x
  3. Step 3: Cross multiply
    486,123.40x = 729,087.90 × 233,403.40
  4. Step 4: Simplify right side
    486,123.40x = 170,171,594,758.86
  5. Step 5: Solve for x
    x = 170,171,594,758.86/486,123.40
  6. Step 6: Final answer
    x = 350,058.43

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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.