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Finding the Fourth Proportional to 377,584.18, 566,376.24 and 354,489.46

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Solution

The fourth proportional to 377,584.18, 566,376.24 and 354,489.46 is: 531,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,584.18 : 566,376.24 = 354,489.46 : x
  2. Step 2: Convert to fraction form
    377,584.18/566,376.24 = 354,489.46/x
  3. Step 3: Cross multiply
    377,584.18x = 566,376.24 × 354,489.46
  4. Step 4: Simplify right side
    377,584.18x = 200,774,407,474.43
  5. Step 5: Solve for x
    x = 200,774,407,474.43/377,584.18
  6. Step 6: Final answer
    x = 531,734.16

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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.