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Finding the Fourth Proportional to 462,605.78, 692,830.84 and 449,836.42

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Solution

The fourth proportional to 462,605.78, 692,830.84 and 449,836.42 is: 673,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,605.78 : 692,830.84 = 449,836.42 : x
  2. Step 2: Convert to fraction form
    462,605.78/692,830.84 = 449,836.42/x
  3. Step 3: Cross multiply
    462,605.78x = 692,830.84 × 449,836.42
  4. Step 4: Simplify right side
    462,605.78x = 311,660,544,731.19
  5. Step 5: Solve for x
    x = 311,660,544,731.19/462,605.78
  6. Step 6: Final answer
    x = 673,706.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.