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Finding the Fourth Proportional to 365,897.63, 504,866.23 and 204,721.40

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Solution

The fourth proportional to 365,897.63, 504,866.23 and 204,721.40 is: 282,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,897.63 : 504,866.23 = 204,721.40 : x
  2. Step 2: Convert to fraction form
    365,897.63/504,866.23 = 204,721.40/x
  3. Step 3: Cross multiply
    365,897.63x = 504,866.23 × 204,721.40
  4. Step 4: Simplify right side
    365,897.63x = 103,356,918,382.19
  5. Step 5: Solve for x
    x = 103,356,918,382.19/365,897.63
  6. Step 6: Final answer
    x = 282,474.96

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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.