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Finding the Fourth Proportional to 500,400.96, 750,523.68 and 184,786.08

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Solution

The fourth proportional to 500,400.96, 750,523.68 and 184,786.08 is: 277,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,400.96 : 750,523.68 = 184,786.08 : x
  2. Step 2: Convert to fraction form
    500,400.96/750,523.68 = 184,786.08/x
  3. Step 3: Cross multiply
    500,400.96x = 750,523.68 × 184,786.08
  4. Step 4: Simplify right side
    500,400.96x = 138,686,328,774.37
  5. Step 5: Solve for x
    x = 138,686,328,774.37/500,400.96
  6. Step 6: Final answer
    x = 277,150.41

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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.