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Finding the Fourth Proportional to 506,464.56, 759,696.82 and 206,944.86

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Solution

The fourth proportional to 506,464.56, 759,696.82 and 206,944.86 is: 310,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,464.56 : 759,696.82 = 206,944.86 : x
  2. Step 2: Convert to fraction form
    506,464.56/759,696.82 = 206,944.86/x
  3. Step 3: Cross multiply
    506,464.56x = 759,696.82 × 206,944.86
  4. Step 4: Simplify right side
    506,464.56x = 157,215,352,057.35
  5. Step 5: Solve for x
    x = 157,215,352,057.35/506,464.56
  6. Step 6: Final answer
    x = 310,417.28

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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.