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Finding the Fourth Proportional to 472,703.82, 708,947.73 and 135,741.80

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Solution

The fourth proportional to 472,703.82, 708,947.73 and 135,741.80 is: 203,581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,703.82 : 708,947.73 = 135,741.80 : x
  2. Step 2: Convert to fraction form
    472,703.82/708,947.73 = 135,741.80/x
  3. Step 3: Cross multiply
    472,703.82x = 708,947.73 × 135,741.80
  4. Step 4: Simplify right side
    472,703.82x = 96,233,837,431.38
  5. Step 5: Solve for x
    x = 96,233,837,431.38/472,703.82
  6. Step 6: Final answer
    x = 203,581.68

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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.