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Finding the Fourth Proportional to 475,537.71, 713,399.82 and 176,020.83

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Solution

The fourth proportional to 475,537.71, 713,399.82 and 176,020.83 is: 264,065.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,537.71 : 713,399.82 = 176,020.83 : x
  2. Step 2: Convert to fraction form
    475,537.71/713,399.82 = 176,020.83/x
  3. Step 3: Cross multiply
    475,537.71x = 713,399.82 × 176,020.83
  4. Step 4: Simplify right side
    475,537.71x = 125,573,228,438.25
  5. Step 5: Solve for x
    x = 125,573,228,438.25/475,537.71
  6. Step 6: Final answer
    x = 264,065.76

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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.