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Finding the Fourth Proportional to 535,470.38, 738,958.85 and 293,765.30

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Solution

The fourth proportional to 535,470.38, 738,958.85 and 293,765.30 is: 405,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,470.38 : 738,958.85 = 293,765.30 : x
  2. Step 2: Convert to fraction form
    535,470.38/738,958.85 = 293,765.30/x
  3. Step 3: Cross multiply
    535,470.38x = 738,958.85 × 293,765.30
  4. Step 4: Simplify right side
    535,470.38x = 217,080,463,094.28
  5. Step 5: Solve for x
    x = 217,080,463,094.28/535,470.38
  6. Step 6: Final answer
    x = 405,401.44

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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.