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Finding the Fourth Proportional to 312,466.56, 468,491.52 and 102,030.72

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Solution

The fourth proportional to 312,466.56, 468,491.52 and 102,030.72 is: 152,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,466.56 : 468,491.52 = 102,030.72 : x
  2. Step 2: Convert to fraction form
    312,466.56/468,491.52 = 102,030.72/x
  3. Step 3: Cross multiply
    312,466.56x = 468,491.52 × 102,030.72
  4. Step 4: Simplify right side
    312,466.56x = 47,800,527,099.49
  5. Step 5: Solve for x
    x = 47,800,527,099.49/312,466.56
  6. Step 6: Final answer
    x = 152,978.06

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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.