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Finding the Fourth Proportional to 461,784.80, 693,114.60 and 284,637.80

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Solution

The fourth proportional to 461,784.80, 693,114.60 and 284,637.80 is: 427,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,784.80 : 693,114.60 = 284,637.80 : x
  2. Step 2: Convert to fraction form
    461,784.80/693,114.60 = 284,637.80/x
  3. Step 3: Cross multiply
    461,784.80x = 693,114.60 × 284,637.80
  4. Step 4: Simplify right side
    461,784.80x = 197,286,614,891.88
  5. Step 5: Solve for x
    x = 197,286,614,891.88/461,784.80
  6. Step 6: Final answer
    x = 427,226.31

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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.