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Finding the Fourth Proportional to 531,640.96, 733,682.88 and 302,207.85

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Solution

The fourth proportional to 531,640.96, 733,682.88 and 302,207.85 is: 417,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,640.96 : 733,682.88 = 302,207.85 : x
  2. Step 2: Convert to fraction form
    531,640.96/733,682.88 = 302,207.85/x
  3. Step 3: Cross multiply
    531,640.96x = 733,682.88 × 302,207.85
  4. Step 4: Simplify right side
    531,640.96x = 221,724,725,746.61
  5. Step 5: Solve for x
    x = 221,724,725,746.61/531,640.96
  6. Step 6: Final answer
    x = 417,057.27

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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.