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Finding the Fourth Proportional to 402,891.20, 603,607.80 and 192,064.40

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Solution

The fourth proportional to 402,891.20, 603,607.80 and 192,064.40 is: 287,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,891.20 : 603,607.80 = 192,064.40 : x
  2. Step 2: Convert to fraction form
    402,891.20/603,607.80 = 192,064.40/x
  3. Step 3: Cross multiply
    402,891.20x = 603,607.80 × 192,064.40
  4. Step 4: Simplify right side
    402,891.20x = 115,931,569,942.32
  5. Step 5: Solve for x
    x = 115,931,569,942.32/402,891.20
  6. Step 6: Final answer
    x = 287,749.07

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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.