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Finding the Fourth Proportional to 531,776.40, 733,853.73 and 290,064.17

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Solution

The fourth proportional to 531,776.40, 733,853.73 and 290,064.17 is: 400,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,776.40 : 733,853.73 = 290,064.17 : x
  2. Step 2: Convert to fraction form
    531,776.40/733,853.73 = 290,064.17/x
  3. Step 3: Cross multiply
    531,776.40x = 733,853.73 × 290,064.17
  4. Step 4: Simplify right side
    531,776.40x = 212,864,673,093.85
  5. Step 5: Solve for x
    x = 212,864,673,093.85/531,776.40
  6. Step 6: Final answer
    x = 400,289.81

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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.