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Finding the Fourth Proportional to 472,756.46, 652,403.00 and 257,896.46

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Solution

The fourth proportional to 472,756.46, 652,403.00 and 257,896.46 is: 355,896.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,756.46 : 652,403.00 = 257,896.46 : x
  2. Step 2: Convert to fraction form
    472,756.46/652,403.00 = 257,896.46/x
  3. Step 3: Cross multiply
    472,756.46x = 652,403.00 × 257,896.46
  4. Step 4: Simplify right side
    472,756.46x = 168,252,419,641.88
  5. Step 5: Solve for x
    x = 168,252,419,641.88/472,756.46
  6. Step 6: Final answer
    x = 355,896.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.