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Finding the Fourth Proportional to 402,465.20, 603,006.60 and 262,151.60

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Solution

The fourth proportional to 402,465.20, 603,006.60 and 262,151.60 is: 392,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,465.20 : 603,006.60 = 262,151.60 : x
  2. Step 2: Convert to fraction form
    402,465.20/603,006.60 = 262,151.60/x
  3. Step 3: Cross multiply
    402,465.20x = 603,006.60 × 262,151.60
  4. Step 4: Simplify right side
    402,465.20x = 158,079,145,000.56
  5. Step 5: Solve for x
    x = 158,079,145,000.56/402,465.20
  6. Step 6: Final answer
    x = 392,777.18

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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.