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Finding the Fourth Proportional to 472,233.92, 708,368.16 and 191,744.96

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Solution

The fourth proportional to 472,233.92, 708,368.16 and 191,744.96 is: 287,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,233.92 : 708,368.16 = 191,744.96 : x
  2. Step 2: Convert to fraction form
    472,233.92/708,368.16 = 191,744.96/x
  3. Step 3: Cross multiply
    472,233.92x = 708,368.16 × 191,744.96
  4. Step 4: Simplify right side
    472,233.92x = 135,826,024,504.47
  5. Step 5: Solve for x
    x = 135,826,024,504.47/472,233.92
  6. Step 6: Final answer
    x = 287,624.46

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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.