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Finding the Fourth Proportional to 511,337.47, 705,669.74 and 284,984.59

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Solution

The fourth proportional to 511,337.47, 705,669.74 and 284,984.59 is: 393,292.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,337.47 : 705,669.74 = 284,984.59 : x
  2. Step 2: Convert to fraction form
    511,337.47/705,669.74 = 284,984.59/x
  3. Step 3: Cross multiply
    511,337.47x = 705,669.74 × 284,984.59
  4. Step 4: Simplify right side
    511,337.47x = 201,105,000,104.38
  5. Step 5: Solve for x
    x = 201,105,000,104.38/511,337.47
  6. Step 6: Final answer
    x = 393,292.12

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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.