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Finding the Fourth Proportional to 647,969.85, 971,166.78 and 458,484.82

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Solution

The fourth proportional to 647,969.85, 971,166.78 and 458,484.82 is: 687,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,969.85 : 971,166.78 = 458,484.82 : x
  2. Step 2: Convert to fraction form
    647,969.85/971,166.78 = 458,484.82/x
  3. Step 3: Cross multiply
    647,969.85x = 971,166.78 × 458,484.82
  4. Step 4: Simplify right side
    647,969.85x = 445,265,223,890.36
  5. Step 5: Solve for x
    x = 445,265,223,890.36/647,969.85
  6. Step 6: Final answer
    x = 687,169.66

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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.