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Finding the Fourth Proportional to 511,315.38, 705,639.33 and 284,962.50

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Solution

The fourth proportional to 511,315.38, 705,639.33 and 284,962.50 is: 393,261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,315.38 : 705,639.33 = 284,962.50 : x
  2. Step 2: Convert to fraction form
    511,315.38/705,639.33 = 284,962.50/x
  3. Step 3: Cross multiply
    511,315.38x = 705,639.33 × 284,962.50
  4. Step 4: Simplify right side
    511,315.38x = 201,080,747,575.13
  5. Step 5: Solve for x
    x = 201,080,747,575.13/511,315.38
  6. Step 6: Final answer
    x = 393,261.68

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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.