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Finding the Fourth Proportional to 511,243.30, 705,457.92 and 296,338.96

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Solution

The fourth proportional to 511,243.30, 705,457.92 and 296,338.96 is: 408,914.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,243.30 : 705,457.92 = 296,338.96 : x
  2. Step 2: Convert to fraction form
    511,243.30/705,457.92 = 296,338.96/x
  3. Step 3: Cross multiply
    511,243.30x = 705,457.92 × 296,338.96
  4. Step 4: Simplify right side
    511,243.30x = 209,054,666,336.56
  5. Step 5: Solve for x
    x = 209,054,666,336.56/511,243.30
  6. Step 6: Final answer
    x = 408,914.24

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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.