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Finding the Fourth Proportional to 297,544.52, 410,618.58 and 163,411.40

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Solution

The fourth proportional to 297,544.52, 410,618.58 and 163,411.40 is: 225,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,544.52 : 410,618.58 = 163,411.40 : x
  2. Step 2: Convert to fraction form
    297,544.52/410,618.58 = 163,411.40/x
  3. Step 3: Cross multiply
    297,544.52x = 410,618.58 × 163,411.40
  4. Step 4: Simplify right side
    297,544.52x = 67,099,757,023.81
  5. Step 5: Solve for x
    x = 67,099,757,023.81/297,544.52
  6. Step 6: Final answer
    x = 225,511.65

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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.