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Finding the Fourth Proportional to 317,503.30, 476,388.23 and 197,660.47

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Solution

The fourth proportional to 317,503.30, 476,388.23 and 197,660.47 is: 296,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,503.30 : 476,388.23 = 197,660.47 : x
  2. Step 2: Convert to fraction form
    317,503.30/476,388.23 = 197,660.47/x
  3. Step 3: Cross multiply
    317,503.30x = 476,388.23 × 197,660.47
  4. Step 4: Simplify right side
    317,503.30x = 94,163,121,444.27
  5. Step 5: Solve for x
    x = 94,163,121,444.27/317,503.30
  6. Step 6: Final answer
    x = 296,573.68

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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.