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Finding the Fourth Proportional to 317,059.74, 475,451.37 and 119,929.50

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Solution

The fourth proportional to 317,059.74, 475,451.37 and 119,929.50 is: 179,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,059.74 : 475,451.37 = 119,929.50 : x
  2. Step 2: Convert to fraction form
    317,059.74/475,451.37 = 119,929.50/x
  3. Step 3: Cross multiply
    317,059.74x = 475,451.37 × 119,929.50
  4. Step 4: Simplify right side
    317,059.74x = 57,020,645,078.42
  5. Step 5: Solve for x
    x = 57,020,645,078.42/317,059.74
  6. Step 6: Final answer
    x = 179,841.96

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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.