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Finding the Fourth Proportional to 508,714.31, 702,028.49 and 317,838.42

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Solution

The fourth proportional to 508,714.31, 702,028.49 and 317,838.42 is: 438,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,714.31 : 702,028.49 = 317,838.42 : x
  2. Step 2: Convert to fraction form
    508,714.31/702,028.49 = 317,838.42/x
  3. Step 3: Cross multiply
    508,714.31x = 702,028.49 × 317,838.42
  4. Step 4: Simplify right side
    508,714.31x = 223,131,624,467.39
  5. Step 5: Solve for x
    x = 223,131,624,467.39/508,714.31
  6. Step 6: Final answer
    x = 438,618.73

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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.