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Finding the Fourth Proportional to 462,096.90, 637,427.70 and 278,207.64

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Solution

The fourth proportional to 462,096.90, 637,427.70 and 278,207.64 is: 383,766.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,096.90 : 637,427.70 = 278,207.64 : x
  2. Step 2: Convert to fraction form
    462,096.90/637,427.70 = 278,207.64/x
  3. Step 3: Cross multiply
    462,096.90x = 637,427.70 × 278,207.64
  4. Step 4: Simplify right side
    462,096.90x = 177,337,256,087.63
  5. Step 5: Solve for x
    x = 177,337,256,087.63/462,096.90
  6. Step 6: Final answer
    x = 383,766.38

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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.