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Finding the Fourth Proportional to 297,731, 410,868.78 and 163,595.96

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Solution

The fourth proportional to 297,731, 410,868.78 and 163,595.96 is: 225,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,731 : 410,868.78 = 163,595.96 : x
  2. Step 2: Convert to fraction form
    297,731/410,868.78 = 163,595.96/x
  3. Step 3: Cross multiply
    297,731x = 410,868.78 × 163,595.96
  4. Step 4: Simplify right side
    297,731x = 67,216,472,498.13
  5. Step 5: Solve for x
    x = 67,216,472,498.13/297,731
  6. Step 6: Final answer
    x = 225,762.42

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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.