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Finding the Fourth Proportional to 472,617.93, 708,923.25 and 117,629.56

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Solution

The fourth proportional to 472,617.93, 708,923.25 and 117,629.56 is: 176,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,617.93 : 708,923.25 = 117,629.56 : x
  2. Step 2: Convert to fraction form
    472,617.93/708,923.25 = 117,629.56/x
  3. Step 3: Cross multiply
    472,617.93x = 708,923.25 × 117,629.56
  4. Step 4: Simplify right side
    472,617.93x = 83,390,328,198.96
  5. Step 5: Solve for x
    x = 83,390,328,198.96/472,617.93
  6. Step 6: Final answer
    x = 176,443.43

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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.