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Finding the Fourth Proportional to 365,866.56, 504,897.30 and 204,732.18

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Solution

The fourth proportional to 365,866.56, 504,897.30 and 204,732.18 is: 282,531.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,866.56 : 504,897.30 = 204,732.18 : x
  2. Step 2: Convert to fraction form
    365,866.56/504,897.30 = 204,732.18/x
  3. Step 3: Cross multiply
    365,866.56x = 504,897.30 × 204,732.18
  4. Step 4: Simplify right side
    365,866.56x = 103,368,724,905.11
  5. Step 5: Solve for x
    x = 103,368,724,905.11/365,866.56
  6. Step 6: Final answer
    x = 282,531.22

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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.