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Finding the Fourth Proportional to 517,878.40, 775,505.40 and 412,902.40

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Solution

The fourth proportional to 517,878.40, 775,505.40 and 412,902.40 is: 618,307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,878.40 : 775,505.40 = 412,902.40 : x
  2. Step 2: Convert to fraction form
    517,878.40/775,505.40 = 412,902.40/x
  3. Step 3: Cross multiply
    517,878.40x = 775,505.40 × 412,902.40
  4. Step 4: Simplify right side
    517,878.40x = 320,208,040,872.96
  5. Step 5: Solve for x
    x = 320,208,040,872.96/517,878.40
  6. Step 6: Final answer
    x = 618,307.39

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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.