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Finding the Fourth Proportional to 417,516.76, 626,388.14 and 297,725.05

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Solution

The fourth proportional to 417,516.76, 626,388.14 and 297,725.05 is: 446,668.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,516.76 : 626,388.14 = 297,725.05 : x
  2. Step 2: Convert to fraction form
    417,516.76/626,388.14 = 297,725.05/x
  3. Step 3: Cross multiply
    417,516.76x = 626,388.14 × 297,725.05
  4. Step 4: Simplify right side
    417,516.76x = 186,491,440,300.91
  5. Step 5: Solve for x
    x = 186,491,440,300.91/417,516.76
  6. Step 6: Final answer
    x = 446,668.15

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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.