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Finding the Fourth Proportional to 364,523.20, 546,784.80 and 204,434.80

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Solution

The fourth proportional to 364,523.20, 546,784.80 and 204,434.80 is: 306,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,523.20 : 546,784.80 = 204,434.80 : x
  2. Step 2: Convert to fraction form
    364,523.20/546,784.80 = 204,434.80/x
  3. Step 3: Cross multiply
    364,523.20x = 546,784.80 × 204,434.80
  4. Step 4: Simplify right side
    364,523.20x = 111,781,841,231.04
  5. Step 5: Solve for x
    x = 111,781,841,231.04/364,523.20
  6. Step 6: Final answer
    x = 306,652.20

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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.