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Finding the Fourth Proportional to 297,654, 410,762.52 and 163,518

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Solution

The fourth proportional to 297,654, 410,762.52 and 163,518 is: 225,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,654 : 410,762.52 = 163,518 : x
  2. Step 2: Convert to fraction form
    297,654/410,762.52 = 163,518/x
  3. Step 3: Cross multiply
    297,654x = 410,762.52 × 163,518
  4. Step 4: Simplify right side
    297,654x = 67,167,065,745.36
  5. Step 5: Solve for x
    x = 67,167,065,745.36/297,654
  6. Step 6: Final answer
    x = 225,654.84

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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.