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Finding the Fourth Proportional to 472,656.64, 708,777.60 and 173,059.60

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Solution

The fourth proportional to 472,656.64, 708,777.60 and 173,059.60 is: 259,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,656.64 : 708,777.60 = 173,059.60 : x
  2. Step 2: Convert to fraction form
    472,656.64/708,777.60 = 173,059.60/x
  3. Step 3: Cross multiply
    472,656.64x = 708,777.60 × 173,059.60
  4. Step 4: Simplify right side
    472,656.64x = 122,660,767,944.96
  5. Step 5: Solve for x
    x = 122,660,767,944.96/472,656.64
  6. Step 6: Final answer
    x = 259,513.48

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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.