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Finding the Fourth Proportional to 472,460.82, 708,537.21 and 156,832.98

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Solution

The fourth proportional to 472,460.82, 708,537.21 and 156,832.98 is: 235,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,460.82 : 708,537.21 = 156,832.98 : x
  2. Step 2: Convert to fraction form
    472,460.82/708,537.21 = 156,832.98/x
  3. Step 3: Cross multiply
    472,460.82x = 708,537.21 × 156,832.98
  4. Step 4: Simplify right side
    472,460.82x = 111,122,002,085.19
  5. Step 5: Solve for x
    x = 111,122,002,085.19/472,460.82
  6. Step 6: Final answer
    x = 235,198.34

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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.