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Finding the Fourth Proportional to 472,295.82, 708,548.97 and 172,769.76

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Solution

The fourth proportional to 472,295.82, 708,548.97 and 172,769.76 is: 259,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,295.82 : 708,548.97 = 172,769.76 : x
  2. Step 2: Convert to fraction form
    472,295.82/708,548.97 = 172,769.76/x
  3. Step 3: Cross multiply
    472,295.82x = 708,548.97 × 172,769.76
  4. Step 4: Simplify right side
    472,295.82x = 122,415,835,495.15
  5. Step 5: Solve for x
    x = 122,415,835,495.15/472,295.82
  6. Step 6: Final answer
    x = 259,193.14

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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.