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Finding the Fourth Proportional to 312,576.61, 468,352.32 and 132,518.16

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Solution

The fourth proportional to 312,576.61, 468,352.32 and 132,518.16 is: 198,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,576.61 : 468,352.32 = 132,518.16 : x
  2. Step 2: Convert to fraction form
    312,576.61/468,352.32 = 132,518.16/x
  3. Step 3: Cross multiply
    312,576.61x = 468,352.32 × 132,518.16
  4. Step 4: Simplify right side
    312,576.61x = 62,065,187,678.13
  5. Step 5: Solve for x
    x = 62,065,187,678.13/312,576.61
  6. Step 6: Final answer
    x = 198,559.92

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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.