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Finding the Fourth Proportional to 307,342.65, 460,698.23 and 117,751.62

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Solution

The fourth proportional to 307,342.65, 460,698.23 and 117,751.62 is: 176,506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,342.65 : 460,698.23 = 117,751.62 : x
  2. Step 2: Convert to fraction form
    307,342.65/460,698.23 = 117,751.62/x
  3. Step 3: Cross multiply
    307,342.65x = 460,698.23 × 117,751.62
  4. Step 4: Simplify right side
    307,342.65x = 54,247,962,324.87
  5. Step 5: Solve for x
    x = 54,247,962,324.87/307,342.65
  6. Step 6: Final answer
    x = 176,506.46

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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.