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Finding the Fourth Proportional to 546,516.60, 820,389.30 and 422,407.80

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Solution

The fourth proportional to 546,516.60, 820,389.30 and 422,407.80 is: 634,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,516.60 : 820,389.30 = 422,407.80 : x
  2. Step 2: Convert to fraction form
    546,516.60/820,389.30 = 422,407.80/x
  3. Step 3: Cross multiply
    546,516.60x = 820,389.30 × 422,407.80
  4. Step 4: Simplify right side
    546,516.60x = 346,538,839,356.54
  5. Step 5: Solve for x
    x = 346,538,839,356.54/546,516.60
  6. Step 6: Final answer
    x = 634,086.58

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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.