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Finding the Fourth Proportional to 545,934.70, 819,776.85 and 412,965.10

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Solution

The fourth proportional to 545,934.70, 819,776.85 and 412,965.10 is: 620,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,934.70 : 819,776.85 = 412,965.10 : x
  2. Step 2: Convert to fraction form
    545,934.70/819,776.85 = 412,965.10/x
  3. Step 3: Cross multiply
    545,934.70x = 819,776.85 × 412,965.10
  4. Step 4: Simplify right side
    545,934.70x = 338,539,228,837.94
  5. Step 5: Solve for x
    x = 338,539,228,837.94/545,934.70
  6. Step 6: Final answer
    x = 620,109.38

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