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Finding the Fourth Proportional to 712,021.86, 982,395.86 and 405,986.65

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Solution

The fourth proportional to 712,021.86, 982,395.86 and 405,986.65 is: 560,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,021.86 : 982,395.86 = 405,986.65 : x
  2. Step 2: Convert to fraction form
    712,021.86/982,395.86 = 405,986.65/x
  3. Step 3: Cross multiply
    712,021.86x = 982,395.86 × 405,986.65
  4. Step 4: Simplify right side
    712,021.86x = 398,839,599,689.35
  5. Step 5: Solve for x
    x = 398,839,599,689.35/712,021.86
  6. Step 6: Final answer
    x = 560,150.78

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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.