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Finding the Fourth Proportional to 411,986.70, 618,440.85 and 384,914.70

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Solution

The fourth proportional to 411,986.70, 618,440.85 and 384,914.70 is: 577,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,986.70 : 618,440.85 = 384,914.70 : x
  2. Step 2: Convert to fraction form
    411,986.70/618,440.85 = 384,914.70/x
  3. Step 3: Cross multiply
    411,986.70x = 618,440.85 × 384,914.70
  4. Step 4: Simplify right side
    411,986.70x = 238,046,974,245.50
  5. Step 5: Solve for x
    x = 238,046,974,245.50/411,986.70
  6. Step 6: Final answer
    x = 577,802.57

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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.