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Finding the Fourth Proportional to 375,055.50, 517,581.48 and 205,285.98

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Solution

The fourth proportional to 375,055.50, 517,581.48 and 205,285.98 is: 283,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,055.50 : 517,581.48 = 205,285.98 : x
  2. Step 2: Convert to fraction form
    375,055.50/517,581.48 = 205,285.98/x
  3. Step 3: Cross multiply
    375,055.50x = 517,581.48 × 205,285.98
  4. Step 4: Simplify right side
    375,055.50x = 106,252,221,351.65
  5. Step 5: Solve for x
    x = 106,252,221,351.65/375,055.50
  6. Step 6: Final answer
    x = 283,297.33

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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.