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Finding the Fourth Proportional to 317,007.82, 475,574 and 117,329.94

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Solution

The fourth proportional to 317,007.82, 475,574 and 117,329.94 is: 176,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,007.82 : 475,574 = 117,329.94 : x
  2. Step 2: Convert to fraction form
    317,007.82/475,574 = 117,329.94/x
  3. Step 3: Cross multiply
    317,007.82x = 475,574 × 117,329.94
  4. Step 4: Simplify right side
    317,007.82x = 55,799,068,885.56
  5. Step 5: Solve for x
    x = 55,799,068,885.56/317,007.82
  6. Step 6: Final answer
    x = 176,017.96

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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.