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Finding the Fourth Proportional to 409,505.83, 614,259.65 and 184,604.81

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Solution

The fourth proportional to 409,505.83, 614,259.65 and 184,604.81 is: 276,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,505.83 : 614,259.65 = 184,604.81 : x
  2. Step 2: Convert to fraction form
    409,505.83/614,259.65 = 184,604.81/x
  3. Step 3: Cross multiply
    409,505.83x = 614,259.65 × 184,604.81
  4. Step 4: Simplify right side
    409,505.83x = 113,395,283,369.13
  5. Step 5: Solve for x
    x = 113,395,283,369.13/409,505.83
  6. Step 6: Final answer
    x = 276,907.62

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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.