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Finding the Fourth Proportional to 335,086.90, 503,019.15 and 202,117.30

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Solution

The fourth proportional to 335,086.90, 503,019.15 and 202,117.30 is: 303,410.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,086.90 : 503,019.15 = 202,117.30 : x
  2. Step 2: Convert to fraction form
    335,086.90/503,019.15 = 202,117.30/x
  3. Step 3: Cross multiply
    335,086.90x = 503,019.15 × 202,117.30
  4. Step 4: Simplify right side
    335,086.90x = 101,668,872,446.30
  5. Step 5: Solve for x
    x = 101,668,872,446.30/335,086.90
  6. Step 6: Final answer
    x = 303,410.47

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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.