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Finding the Fourth Proportional to 657,103.80, 984,273.30 and 546,511.80

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Solution

The fourth proportional to 657,103.80, 984,273.30 and 546,511.80 is: 818,617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,103.80 : 984,273.30 = 546,511.80 : x
  2. Step 2: Convert to fraction form
    657,103.80/984,273.30 = 546,511.80/x
  3. Step 3: Cross multiply
    657,103.80x = 984,273.30 × 546,511.80
  4. Step 4: Simplify right side
    657,103.80x = 537,916,972,874.94
  5. Step 5: Solve for x
    x = 537,916,972,874.94/657,103.80
  6. Step 6: Final answer
    x = 818,617.96

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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.