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Finding the Fourth Proportional to 330,152.34, 453,856.12 and 284,042.49

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Solution

The fourth proportional to 330,152.34, 453,856.12 and 284,042.49 is: 390,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,152.34 : 453,856.12 = 284,042.49 : x
  2. Step 2: Convert to fraction form
    330,152.34/453,856.12 = 284,042.49/x
  3. Step 3: Cross multiply
    330,152.34x = 453,856.12 × 284,042.49
  4. Step 4: Simplify right side
    330,152.34x = 128,914,422,426.54
  5. Step 5: Solve for x
    x = 128,914,422,426.54/330,152.34
  6. Step 6: Final answer
    x = 390,469.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.