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Finding the Fourth Proportional to 317,462.44, 476,178.14 and 117,821.72

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Solution

The fourth proportional to 317,462.44, 476,178.14 and 117,821.72 is: 176,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,462.44 : 476,178.14 = 117,821.72 : x
  2. Step 2: Convert to fraction form
    317,462.44/476,178.14 = 117,821.72/x
  3. Step 3: Cross multiply
    317,462.44x = 476,178.14 × 117,821.72
  4. Step 4: Simplify right side
    317,462.44x = 56,104,127,481.20
  5. Step 5: Solve for x
    x = 56,104,127,481.20/317,462.44
  6. Step 6: Final answer
    x = 176,726.82

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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.