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Finding the Fourth Proportional to 375,047.50, 517,570.42 and 205,277.98

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Solution

The fourth proportional to 375,047.50, 517,570.42 and 205,277.98 is: 283,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,047.50 : 517,570.42 = 205,277.98 : x
  2. Step 2: Convert to fraction form
    375,047.50/517,570.42 = 205,277.98/x
  3. Step 3: Cross multiply
    375,047.50x = 517,570.42 × 205,277.98
  4. Step 4: Simplify right side
    375,047.50x = 106,245,810,325.35
  5. Step 5: Solve for x
    x = 106,245,810,325.35/375,047.50
  6. Step 6: Final answer
    x = 283,286.28

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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.