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Finding the Fourth Proportional to 417,725.76, 626,815.50 and 177,800.52

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Solution

The fourth proportional to 417,725.76, 626,815.50 and 177,800.52 is: 266,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,725.76 : 626,815.50 = 177,800.52 : x
  2. Step 2: Convert to fraction form
    417,725.76/626,815.50 = 177,800.52/x
  3. Step 3: Cross multiply
    417,725.76x = 626,815.50 × 177,800.52
  4. Step 4: Simplify right side
    417,725.76x = 111,448,121,844.06
  5. Step 5: Solve for x
    x = 111,448,121,844.06/417,725.76
  6. Step 6: Final answer
    x = 266,797.34

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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.