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Finding the Fourth Proportional to 511,338.53, 705,671.20 and 284,985.65

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Solution

The fourth proportional to 511,338.53, 705,671.20 and 284,985.65 is: 393,293.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,338.53 : 705,671.20 = 284,985.65 : x
  2. Step 2: Convert to fraction form
    511,338.53/705,671.20 = 284,985.65/x
  3. Step 3: Cross multiply
    511,338.53x = 705,671.20 × 284,985.65
  4. Step 4: Simplify right side
    511,338.53x = 201,106,167,738.69
  5. Step 5: Solve for x
    x = 201,106,167,738.69/511,338.53
  6. Step 6: Final answer
    x = 393,293.59

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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.