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Finding the Fourth Proportional to 317,964.02, 438,351.89 and 253,651.57

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Solution

The fourth proportional to 317,964.02, 438,351.89 and 253,651.57 is: 349,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,964.02 : 438,351.89 = 253,651.57 : x
  2. Step 2: Convert to fraction form
    317,964.02/438,351.89 = 253,651.57/x
  3. Step 3: Cross multiply
    317,964.02x = 438,351.89 × 253,651.57
  4. Step 4: Simplify right side
    317,964.02x = 111,188,642,746.83
  5. Step 5: Solve for x
    x = 111,188,642,746.83/317,964.02
  6. Step 6: Final answer
    x = 349,689.39

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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.