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Finding the Fourth Proportional to 519,487.40, 779,231.10 and 414,511.40

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Solution

The fourth proportional to 519,487.40, 779,231.10 and 414,511.40 is: 621,767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,487.40 : 779,231.10 = 414,511.40 : x
  2. Step 2: Convert to fraction form
    519,487.40/779,231.10 = 414,511.40/x
  3. Step 3: Cross multiply
    519,487.40x = 779,231.10 × 414,511.40
  4. Step 4: Simplify right side
    519,487.40x = 323,000,174,184.54
  5. Step 5: Solve for x
    x = 323,000,174,184.54/519,487.40
  6. Step 6: Final answer
    x = 621,767.10

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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.