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Finding the Fourth Proportional to 647,782.48, 971,563.56 and 174,362.32

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Solution

The fourth proportional to 647,782.48, 971,563.56 and 174,362.32 is: 261,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,782.48 : 971,563.56 = 174,362.32 : x
  2. Step 2: Convert to fraction form
    647,782.48/971,563.56 = 174,362.32/x
  3. Step 3: Cross multiply
    647,782.48x = 971,563.56 × 174,362.32
  4. Step 4: Simplify right side
    647,782.48x = 169,404,076,349.06
  5. Step 5: Solve for x
    x = 169,404,076,349.06/647,782.48
  6. Step 6: Final answer
    x = 261,513.83

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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.