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Finding the Fourth Proportional to 511,347.68, 705,662.16 and 296,614.88

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Solution

The fourth proportional to 511,347.68, 705,662.16 and 296,614.88 is: 409,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,347.68 : 705,662.16 = 296,614.88 : x
  2. Step 2: Convert to fraction form
    511,347.68/705,662.16 = 296,614.88/x
  3. Step 3: Cross multiply
    511,347.68x = 705,662.16 × 296,614.88
  4. Step 4: Simplify right side
    511,347.68x = 209,309,896,908.94
  5. Step 5: Solve for x
    x = 209,309,896,908.94/511,347.68
  6. Step 6: Final answer
    x = 409,329.90

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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.