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Finding the Fourth Proportional to 354,684.49, 532,027.34 and 284,056.34

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Solution

The fourth proportional to 354,684.49, 532,027.34 and 284,056.34 is: 426,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,684.49 : 532,027.34 = 284,056.34 : x
  2. Step 2: Convert to fraction form
    354,684.49/532,027.34 = 284,056.34/x
  3. Step 3: Cross multiply
    354,684.49x = 532,027.34 × 284,056.34
  4. Step 4: Simplify right side
    354,684.49x = 151,125,738,980.34
  5. Step 5: Solve for x
    x = 151,125,738,980.34/354,684.49
  6. Step 6: Final answer
    x = 426,084.99

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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.