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Finding the Fourth Proportional to 402,290.40, 603,435.06 and 102,771.20

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Solution

The fourth proportional to 402,290.40, 603,435.06 and 102,771.20 is: 154,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,290.40 : 603,435.06 = 102,771.20 : x
  2. Step 2: Convert to fraction form
    402,290.40/603,435.06 = 102,771.20/x
  3. Step 3: Cross multiply
    402,290.40x = 603,435.06 × 102,771.20
  4. Step 4: Simplify right side
    402,290.40x = 62,015,745,238.27
  5. Step 5: Solve for x
    x = 62,015,745,238.27/402,290.40
  6. Step 6: Final answer
    x = 154,156.66

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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.