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Finding the Fourth Proportional to 519,487.40, 777,918.90 and 414,511.40

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Solution

The fourth proportional to 519,487.40, 777,918.90 and 414,511.40 is: 620,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,487.40 : 777,918.90 = 414,511.40 : x
  2. Step 2: Convert to fraction form
    519,487.40/777,918.90 = 414,511.40/x
  3. Step 3: Cross multiply
    519,487.40x = 777,918.90 × 414,511.40
  4. Step 4: Simplify right side
    519,487.40x = 322,456,252,325.46
  5. Step 5: Solve for x
    x = 322,456,252,325.46/519,487.40
  6. Step 6: Final answer
    x = 620,720.06

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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.