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Finding the Fourth Proportional to 402,662.64, 603,550.89 and 165,876.18

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Solution

The fourth proportional to 402,662.64, 603,550.89 and 165,876.18 is: 248,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,662.64 : 603,550.89 = 165,876.18 : x
  2. Step 2: Convert to fraction form
    402,662.64/603,550.89 = 165,876.18/x
  3. Step 3: Cross multiply
    402,662.64x = 603,550.89 × 165,876.18
  4. Step 4: Simplify right side
    402,662.64x = 100,114,716,068.80
  5. Step 5: Solve for x
    x = 100,114,716,068.80/402,662.64
  6. Step 6: Final answer
    x = 248,631.75

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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.