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Finding the Fourth Proportional to 473,022.54, 652,671.33 and 300,877.85

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Solution

The fourth proportional to 473,022.54, 652,671.33 and 300,877.85 is: 415,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,022.54 : 652,671.33 = 300,877.85 : x
  2. Step 2: Convert to fraction form
    473,022.54/652,671.33 = 300,877.85/x
  3. Step 3: Cross multiply
    473,022.54x = 652,671.33 × 300,877.85
  4. Step 4: Simplify right side
    473,022.54x = 196,374,342,511.49
  5. Step 5: Solve for x
    x = 196,374,342,511.49/473,022.54
  6. Step 6: Final answer
    x = 415,147.96

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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.