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Finding the Fourth Proportional to 647,962.76, 971,833.37 and 174,537.40

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Solution

The fourth proportional to 647,962.76, 971,833.37 and 174,537.40 is: 261,776.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,962.76 : 971,833.37 = 174,537.40 : x
  2. Step 2: Convert to fraction form
    647,962.76/971,833.37 = 174,537.40/x
  3. Step 3: Cross multiply
    647,962.76x = 971,833.37 × 174,537.40
  4. Step 4: Simplify right side
    647,962.76x = 169,621,268,760.35
  5. Step 5: Solve for x
    x = 169,621,268,760.35/647,962.76
  6. Step 6: Final answer
    x = 261,776.26

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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.