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Finding the Fourth Proportional to 657,578.96, 984,125.40 and 405,033.77

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Solution

The fourth proportional to 657,578.96, 984,125.40 and 405,033.77 is: 606,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,578.96 : 984,125.40 = 405,033.77 : x
  2. Step 2: Convert to fraction form
    657,578.96/984,125.40 = 405,033.77/x
  3. Step 3: Cross multiply
    657,578.96x = 984,125.40 × 405,033.77
  4. Step 4: Simplify right side
    657,578.96x = 398,604,016,320.49
  5. Step 5: Solve for x
    x = 398,604,016,320.49/657,578.96
  6. Step 6: Final answer
    x = 606,169.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.