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Finding the Fourth Proportional to 647,319.52, 970,977.93 and 174,004.93

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Solution

The fourth proportional to 647,319.52, 970,977.93 and 174,004.93 is: 261,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,319.52 : 970,977.93 = 174,004.93 : x
  2. Step 2: Convert to fraction form
    647,319.52/970,977.93 = 174,004.93/x
  3. Step 3: Cross multiply
    647,319.52x = 970,977.93 × 174,004.93
  4. Step 4: Simplify right side
    647,319.52x = 168,954,946,741.20
  5. Step 5: Solve for x
    x = 168,954,946,741.20/647,319.52
  6. Step 6: Final answer
    x = 261,007.03

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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.