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Finding the Fourth Proportional to 362,406.30, 542,572.65 and 222,438.30

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Solution

The fourth proportional to 362,406.30, 542,572.65 and 222,438.30 is: 333,021.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,406.30 : 542,572.65 = 222,438.30 : x
  2. Step 2: Convert to fraction form
    362,406.30/542,572.65 = 222,438.30/x
  3. Step 3: Cross multiply
    362,406.30x = 542,572.65 × 222,438.30
  4. Step 4: Simplify right side
    362,406.30x = 120,688,937,892.50
  5. Step 5: Solve for x
    x = 120,688,937,892.50/362,406.30
  6. Step 6: Final answer
    x = 333,021.08

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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.