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Finding the Fourth Proportional to 464,590.33, 641,252.50 and 317,474.74

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Solution

The fourth proportional to 464,590.33, 641,252.50 and 317,474.74 is: 438,195.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,590.33 : 641,252.50 = 317,474.74 : x
  2. Step 2: Convert to fraction form
    464,590.33/641,252.50 = 317,474.74/x
  3. Step 3: Cross multiply
    464,590.33x = 641,252.50 × 317,474.74
  4. Step 4: Simplify right side
    464,590.33x = 203,581,470,719.73
  5. Step 5: Solve for x
    x = 203,581,470,719.73/464,590.33
  6. Step 6: Final answer
    x = 438,195.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.