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Finding the Fourth Proportional to 713,840.28, 985,099.53 and 412,034.28

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Solution

The fourth proportional to 713,840.28, 985,099.53 and 412,034.28 is: 568,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,840.28 : 985,099.53 = 412,034.28 : x
  2. Step 2: Convert to fraction form
    713,840.28/985,099.53 = 412,034.28/x
  3. Step 3: Cross multiply
    713,840.28x = 985,099.53 × 412,034.28
  4. Step 4: Simplify right side
    713,840.28x = 405,894,775,571.89
  5. Step 5: Solve for x
    x = 405,894,775,571.89/713,840.28
  6. Step 6: Final answer
    x = 568,607.27

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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.