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Finding the Fourth Proportional to 706,464.09, 974,946.11 and 404,716.41

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Solution

The fourth proportional to 706,464.09, 974,946.11 and 404,716.41 is: 558,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,464.09 : 974,946.11 = 404,716.41 : x
  2. Step 2: Convert to fraction form
    706,464.09/974,946.11 = 404,716.41/x
  3. Step 3: Cross multiply
    706,464.09x = 974,946.11 × 404,716.41
  4. Step 4: Simplify right side
    706,464.09x = 394,576,687,559.08
  5. Step 5: Solve for x
    x = 394,576,687,559.08/706,464.09
  6. Step 6: Final answer
    x = 558,523.35

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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.