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Finding the Fourth Proportional to 506,463.56, 759,695.32 and 206,943.86

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Solution

The fourth proportional to 506,463.56, 759,695.32 and 206,943.86 is: 310,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,463.56 : 759,695.32 = 206,943.86 : x
  2. Step 2: Convert to fraction form
    506,463.56/759,695.32 = 206,943.86/x
  3. Step 3: Cross multiply
    506,463.56x = 759,695.32 × 206,943.86
  4. Step 4: Simplify right side
    506,463.56x = 157,214,281,944.74
  5. Step 5: Solve for x
    x = 157,214,281,944.74/506,463.56
  6. Step 6: Final answer
    x = 310,415.78

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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.