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Finding the Fourth Proportional to 335,083.90, 503,014.65 and 202,114.30

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Solution

The fourth proportional to 335,083.90, 503,014.65 and 202,114.30 is: 303,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,083.90 : 503,014.65 = 202,114.30 : x
  2. Step 2: Convert to fraction form
    335,083.90/503,014.65 = 202,114.30/x
  3. Step 3: Cross multiply
    335,083.90x = 503,014.65 × 202,114.30
  4. Step 4: Simplify right side
    335,083.90x = 101,666,453,874.50
  5. Step 5: Solve for x
    x = 101,666,453,874.50/335,083.90
  6. Step 6: Final answer
    x = 303,405.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.