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Finding the Fourth Proportional to 471,900.60, 706,814.10 and 409,692.60

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Solution

The fourth proportional to 471,900.60, 706,814.10 and 409,692.60 is: 613,638.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,900.60 : 706,814.10 = 409,692.60 : x
  2. Step 2: Convert to fraction form
    471,900.60/706,814.10 = 409,692.60/x
  3. Step 3: Cross multiply
    471,900.60x = 706,814.10 × 409,692.60
  4. Step 4: Simplify right side
    471,900.60x = 289,576,506,345.66
  5. Step 5: Solve for x
    x = 289,576,506,345.66/471,900.60
  6. Step 6: Final answer
    x = 613,638.78

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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.