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Finding the Fourth Proportional to 647,970.28, 971,844.67 and 174,544.93

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Solution

The fourth proportional to 647,970.28, 971,844.67 and 174,544.93 is: 261,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,970.28 : 971,844.67 = 174,544.93 : x
  2. Step 2: Convert to fraction form
    647,970.28/971,844.67 = 174,544.93/x
  3. Step 3: Cross multiply
    647,970.28x = 971,844.67 × 174,544.93
  4. Step 4: Simplify right side
    647,970.28x = 169,630,559,896.02
  5. Step 5: Solve for x
    x = 169,630,559,896.02/647,970.28
  6. Step 6: Final answer
    x = 261,787.56

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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.