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Finding the Fourth Proportional to 475,921.58, 713,563.02 and 187,469.51

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Solution

The fourth proportional to 475,921.58, 713,563.02 and 187,469.51 is: 281,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,921.58 : 713,563.02 = 187,469.51 : x
  2. Step 2: Convert to fraction form
    475,921.58/713,563.02 = 187,469.51/x
  3. Step 3: Cross multiply
    475,921.58x = 713,563.02 × 187,469.51
  4. Step 4: Simplify right side
    475,921.58x = 133,771,306,145.71
  5. Step 5: Solve for x
    x = 133,771,306,145.71/475,921.58
  6. Step 6: Final answer
    x = 281,078.47

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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.