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Finding the Fourth Proportional to 298,133.34, 447,200.01 and 204,354.78

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Solution

The fourth proportional to 298,133.34, 447,200.01 and 204,354.78 is: 306,532.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,133.34 : 447,200.01 = 204,354.78 : x
  2. Step 2: Convert to fraction form
    298,133.34/447,200.01 = 204,354.78/x
  3. Step 3: Cross multiply
    298,133.34x = 447,200.01 × 204,354.78
  4. Step 4: Simplify right side
    298,133.34x = 91,387,459,659.55
  5. Step 5: Solve for x
    x = 91,387,459,659.55/298,133.34
  6. Step 6: Final answer
    x = 306,532.17

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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.