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Finding the Fourth Proportional to 511,631.92, 705,880.20 and 296,693.56

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Solution

The fourth proportional to 511,631.92, 705,880.20 and 296,693.56 is: 409,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,631.92 : 705,880.20 = 296,693.56 : x
  2. Step 2: Convert to fraction form
    511,631.92/705,880.20 = 296,693.56/x
  3. Step 3: Cross multiply
    511,631.92x = 705,880.20 × 296,693.56
  4. Step 4: Simplify right side
    511,631.92x = 209,430,109,471.51
  5. Step 5: Solve for x
    x = 209,430,109,471.51/511,631.92
  6. Step 6: Final answer
    x = 409,337.46

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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.