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Finding the Fourth Proportional to 297,477, 410,518.26 and 163,341

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Solution

The fourth proportional to 297,477, 410,518.26 and 163,341 is: 225,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,477 : 410,518.26 = 163,341 : x
  2. Step 2: Convert to fraction form
    297,477/410,518.26 = 163,341/x
  3. Step 3: Cross multiply
    297,477x = 410,518.26 × 163,341
  4. Step 4: Simplify right side
    297,477x = 67,054,463,106.66
  5. Step 5: Solve for x
    x = 67,054,463,106.66/297,477
  6. Step 6: Final answer
    x = 225,410.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.