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Finding the Fourth Proportional to 475,458.69, 713,232.02 and 171,928.61

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Solution

The fourth proportional to 475,458.69, 713,232.02 and 171,928.61 is: 257,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,458.69 : 713,232.02 = 171,928.61 : x
  2. Step 2: Convert to fraction form
    475,458.69/713,232.02 = 171,928.61/x
  3. Step 3: Cross multiply
    475,458.69x = 713,232.02 × 171,928.61
  4. Step 4: Simplify right side
    475,458.69x = 122,624,988,377.28
  5. Step 5: Solve for x
    x = 122,624,988,377.28/475,458.69
  6. Step 6: Final answer
    x = 257,908.82

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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.