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Finding the Fourth Proportional to 469,421.46, 647,801.98 and 254,561.48

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Solution

The fourth proportional to 469,421.46, 647,801.98 and 254,561.48 is: 351,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,421.46 : 647,801.98 = 254,561.48 : x
  2. Step 2: Convert to fraction form
    469,421.46/647,801.98 = 254,561.48/x
  3. Step 3: Cross multiply
    469,421.46x = 647,801.98 × 254,561.48
  4. Step 4: Simplify right side
    469,421.46x = 164,905,430,775.73
  5. Step 5: Solve for x
    x = 164,905,430,775.73/469,421.46
  6. Step 6: Final answer
    x = 351,295.04

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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.