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Finding the Fourth Proportional to 456,858.80, 685,315.10 and 176,377.52

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Solution

The fourth proportional to 456,858.80, 685,315.10 and 176,377.52 is: 264,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,858.80 : 685,315.10 = 176,377.52 : x
  2. Step 2: Convert to fraction form
    456,858.80/685,315.10 = 176,377.52/x
  3. Step 3: Cross multiply
    456,858.80x = 685,315.10 × 176,377.52
  4. Step 4: Simplify right side
    456,858.80x = 120,874,177,756.55
  5. Step 5: Solve for x
    x = 120,874,177,756.55/456,858.80
  6. Step 6: Final answer
    x = 264,576.67

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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.