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Finding the Fourth Proportional to 506,771.56, 699,315.78 and 280,403.56

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Solution

The fourth proportional to 506,771.56, 699,315.78 and 280,403.56 is: 386,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,771.56 : 699,315.78 = 280,403.56 : x
  2. Step 2: Convert to fraction form
    506,771.56/699,315.78 = 280,403.56/x
  3. Step 3: Cross multiply
    506,771.56x = 699,315.78 × 280,403.56
  4. Step 4: Simplify right side
    506,771.56x = 196,090,634,276.18
  5. Step 5: Solve for x
    x = 196,090,634,276.18/506,771.56
  6. Step 6: Final answer
    x = 386,940.88

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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.