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Finding the Fourth Proportional to 317,404.74, 476,293.31 and 117,863.67

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Solution

The fourth proportional to 317,404.74, 476,293.31 and 117,863.67 is: 176,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,404.74 : 476,293.31 = 117,863.67 : x
  2. Step 2: Convert to fraction form
    317,404.74/476,293.31 = 117,863.67/x
  3. Step 3: Cross multiply
    317,404.74x = 476,293.31 × 117,863.67
  4. Step 4: Simplify right side
    317,404.74x = 56,137,676,923.73
  5. Step 5: Solve for x
    x = 56,137,676,923.73/317,404.74
  6. Step 6: Final answer
    x = 176,864.65

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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.