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Finding the Fourth Proportional to 476,711.10, 714,891.34 and 192,325.58

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Solution

The fourth proportional to 476,711.10, 714,891.34 and 192,325.58 is: 288,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,711.10 : 714,891.34 = 192,325.58 : x
  2. Step 2: Convert to fraction form
    476,711.10/714,891.34 = 192,325.58/x
  3. Step 3: Cross multiply
    476,711.10x = 714,891.34 × 192,325.58
  4. Step 4: Simplify right side
    476,711.10x = 137,491,890,484.87
  5. Step 5: Solve for x
    x = 137,491,890,484.87/476,711.10
  6. Step 6: Final answer
    x = 288,417.64

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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.