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Finding the Fourth Proportional to 546,523.40, 819,785.10 and 509,198.60

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Solution

The fourth proportional to 546,523.40, 819,785.10 and 509,198.60 is: 763,797.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,523.40 : 819,785.10 = 509,198.60 : x
  2. Step 2: Convert to fraction form
    546,523.40/819,785.10 = 509,198.60/x
  3. Step 3: Cross multiply
    546,523.40x = 819,785.10 × 509,198.60
  4. Step 4: Simplify right side
    546,523.40x = 417,433,425,220.86
  5. Step 5: Solve for x
    x = 417,433,425,220.86/546,523.40
  6. Step 6: Final answer
    x = 763,797.90

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Similar ratio
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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.