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Finding the Fourth Proportional to 362,223.20, 542,897.40 and 184,638.80

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Solution

The fourth proportional to 362,223.20, 542,897.40 and 184,638.80 is: 276,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,223.20 : 542,897.40 = 184,638.80 : x
  2. Step 2: Convert to fraction form
    362,223.20/542,897.40 = 184,638.80/x
  3. Step 3: Cross multiply
    362,223.20x = 542,897.40 × 184,638.80
  4. Step 4: Simplify right side
    362,223.20x = 100,239,924,459.12
  5. Step 5: Solve for x
    x = 100,239,924,459.12/362,223.20
  6. Step 6: Final answer
    x = 276,735.24

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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.