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Finding the Fourth Proportional to 409,630.77, 614,223.81 and 184,728.06

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Solution

The fourth proportional to 409,630.77, 614,223.81 and 184,728.06 is: 276,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,630.77 : 614,223.81 = 184,728.06 : x
  2. Step 2: Convert to fraction form
    409,630.77/614,223.81 = 184,728.06/x
  3. Step 3: Cross multiply
    409,630.77x = 614,223.81 × 184,728.06
  4. Step 4: Simplify right side
    409,630.77x = 113,464,372,827.11
  5. Step 5: Solve for x
    x = 113,464,372,827.11/409,630.77
  6. Step 6: Final answer
    x = 276,991.82

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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.