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Finding the Fourth Proportional to 363,064.50, 501,029.01 and 204,088.50

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Solution

The fourth proportional to 363,064.50, 501,029.01 and 204,088.50 is: 281,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,064.50 : 501,029.01 = 204,088.50 : x
  2. Step 2: Convert to fraction form
    363,064.50/501,029.01 = 204,088.50/x
  3. Step 3: Cross multiply
    363,064.50x = 501,029.01 × 204,088.50
  4. Step 4: Simplify right side
    363,064.50x = 102,254,259,107.39
  5. Step 5: Solve for x
    x = 102,254,259,107.39/363,064.50
  6. Step 6: Final answer
    x = 281,642.13

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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.