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Finding the Fourth Proportional to 499,414.60, 689,114.82 and 284,563.72

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Solution

The fourth proportional to 499,414.60, 689,114.82 and 284,563.72 is: 392,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,414.60 : 689,114.82 = 284,563.72 : x
  2. Step 2: Convert to fraction form
    499,414.60/689,114.82 = 284,563.72/x
  3. Step 3: Cross multiply
    499,414.60x = 689,114.82 × 284,563.72
  4. Step 4: Simplify right side
    499,414.60x = 196,097,076,686.33
  5. Step 5: Solve for x
    x = 196,097,076,686.33/499,414.60
  6. Step 6: Final answer
    x = 392,653.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.