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Finding the Fourth Proportional to 713,178.16, 984,294.26 and 455,166.43

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Solution

The fourth proportional to 713,178.16, 984,294.26 and 455,166.43 is: 628,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,178.16 : 984,294.26 = 455,166.43 : x
  2. Step 2: Convert to fraction form
    713,178.16/984,294.26 = 455,166.43/x
  3. Step 3: Cross multiply
    713,178.16x = 984,294.26 × 455,166.43
  4. Step 4: Simplify right side
    713,178.16x = 448,017,704,393.69
  5. Step 5: Solve for x
    x = 448,017,704,393.69/713,178.16
  6. Step 6: Final answer
    x = 628,198.86

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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.