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Finding the Fourth Proportional to 647,594.21, 971,303.83 and 174,307.97

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Solution

The fourth proportional to 647,594.21, 971,303.83 and 174,307.97 is: 261,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,594.21 : 971,303.83 = 174,307.97 : x
  2. Step 2: Convert to fraction form
    647,594.21/971,303.83 = 174,307.97/x
  3. Step 3: Cross multiply
    647,594.21x = 971,303.83 × 174,307.97
  4. Step 4: Simplify right side
    647,594.21x = 169,306,000,853.02
  5. Step 5: Solve for x
    x = 169,306,000,853.02/647,594.21
  6. Step 6: Final answer
    x = 261,438.41

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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.