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Finding the Fourth Proportional to 362,320.20, 542,824.20 and 309,832.20

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Solution

The fourth proportional to 362,320.20, 542,824.20 and 309,832.20 is: 464,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,320.20 : 542,824.20 = 309,832.20 : x
  2. Step 2: Convert to fraction form
    362,320.20/542,824.20 = 309,832.20/x
  3. Step 3: Cross multiply
    362,320.20x = 542,824.20 × 309,832.20
  4. Step 4: Simplify right side
    362,320.20x = 168,184,416,099.24
  5. Step 5: Solve for x
    x = 168,184,416,099.24/362,320.20
  6. Step 6: Final answer
    x = 464,187.25

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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.