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Finding the Fourth Proportional to 362,409.10, 543,354.45 and 162,565.90

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Solution

The fourth proportional to 362,409.10, 543,354.45 and 162,565.90 is: 243,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,409.10 : 543,354.45 = 162,565.90 : x
  2. Step 2: Convert to fraction form
    362,409.10/543,354.45 = 162,565.90/x
  3. Step 3: Cross multiply
    362,409.10x = 543,354.45 × 162,565.90
  4. Step 4: Simplify right side
    362,409.10x = 88,330,905,183.26
  5. Step 5: Solve for x
    x = 88,330,905,183.26/362,409.10
  6. Step 6: Final answer
    x = 243,732.58

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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.