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Finding the Fourth Proportional to 472,127.74, 708,302.10 and 187,834.37

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Solution

The fourth proportional to 472,127.74, 708,302.10 and 187,834.37 is: 281,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,127.74 : 708,302.10 = 187,834.37 : x
  2. Step 2: Convert to fraction form
    472,127.74/708,302.10 = 187,834.37/x
  3. Step 3: Cross multiply
    472,127.74x = 708,302.10 × 187,834.37
  4. Step 4: Simplify right side
    472,127.74x = 133,043,476,293.29
  5. Step 5: Solve for x
    x = 133,043,476,293.29/472,127.74
  6. Step 6: Final answer
    x = 281,795.51

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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.