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Finding the Fourth Proportional to 299,032.52, 412,697.76 and 184,287.92

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Solution

The fourth proportional to 299,032.52, 412,697.76 and 184,287.92 is: 254,337.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,032.52 : 412,697.76 = 184,287.92 : x
  2. Step 2: Convert to fraction form
    299,032.52/412,697.76 = 184,287.92/x
  3. Step 3: Cross multiply
    299,032.52x = 412,697.76 × 184,287.92
  4. Step 4: Simplify right side
    299,032.52x = 76,055,211,779.06
  5. Step 5: Solve for x
    x = 76,055,211,779.06/299,032.52
  6. Step 6: Final answer
    x = 254,337.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.