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Finding the Fourth Proportional to 354,892.10, 532,338.15 and 284,908.10

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Solution

The fourth proportional to 354,892.10, 532,338.15 and 284,908.10 is: 427,362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,892.10 : 532,338.15 = 284,908.10 : x
  2. Step 2: Convert to fraction form
    354,892.10/532,338.15 = 284,908.10/x
  3. Step 3: Cross multiply
    354,892.10x = 532,338.15 × 284,908.10
  4. Step 4: Simplify right side
    354,892.10x = 151,667,450,874.02
  5. Step 5: Solve for x
    x = 151,667,450,874.02/354,892.10
  6. Step 6: Final answer
    x = 427,362.15

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1.5x scale

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.