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Finding the Fourth Proportional to 514,139.90, 769,897.65 and 409,163.90

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Solution

The fourth proportional to 514,139.90, 769,897.65 and 409,163.90 is: 612,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,139.90 : 769,897.65 = 409,163.90 : x
  2. Step 2: Convert to fraction form
    514,139.90/769,897.65 = 409,163.90/x
  3. Step 3: Cross multiply
    514,139.90x = 769,897.65 × 409,163.90
  4. Step 4: Simplify right side
    514,139.90x = 315,014,325,074.84
  5. Step 5: Solve for x
    x = 315,014,325,074.84/514,139.90
  6. Step 6: Final answer
    x = 612,701.57

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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.