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Finding the Fourth Proportional to 713,849.78, 985,112.64 and 412,043.78

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Solution

The fourth proportional to 713,849.78, 985,112.64 and 412,043.78 is: 568,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,849.78 : 985,112.64 = 412,043.78 : x
  2. Step 2: Convert to fraction form
    713,849.78/985,112.64 = 412,043.78/x
  3. Step 3: Cross multiply
    713,849.78x = 985,112.64 × 412,043.78
  4. Step 4: Simplify right side
    713,849.78x = 405,909,535,911.38
  5. Step 5: Solve for x
    x = 405,909,535,911.38/713,849.78
  6. Step 6: Final answer
    x = 568,620.38

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1.5x scale

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.