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Finding the Fourth Proportional to 362,313.20, 542,813.70 and 309,825.20

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Solution

The fourth proportional to 362,313.20, 542,813.70 and 309,825.20 is: 464,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,313.20 : 542,813.70 = 309,825.20 : x
  2. Step 2: Convert to fraction form
    362,313.20/542,813.70 = 309,825.20/x
  3. Step 3: Cross multiply
    362,313.20x = 542,813.70 × 309,825.20
  4. Step 4: Simplify right side
    362,313.20x = 168,177,363,165.24
  5. Step 5: Solve for x
    x = 168,177,363,165.24/362,313.20
  6. Step 6: Final answer
    x = 464,176.75

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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.