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Finding the Fourth Proportional to 402,451.20, 603,676.80 and 260,733.60

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Solution

The fourth proportional to 402,451.20, 603,676.80 and 260,733.60 is: 391,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,451.20 : 603,676.80 = 260,733.60 : x
  2. Step 2: Convert to fraction form
    402,451.20/603,676.80 = 260,733.60/x
  3. Step 3: Cross multiply
    402,451.20x = 603,676.80 × 260,733.60
  4. Step 4: Simplify right side
    402,451.20x = 157,398,825,300.48
  5. Step 5: Solve for x
    x = 157,398,825,300.48/402,451.20
  6. Step 6: Final answer
    x = 391,100.40

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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.