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Finding the Fourth Proportional to 312,272.96, 468,493.92 and 112,615.52

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Solution

The fourth proportional to 312,272.96, 468,493.92 and 112,615.52 is: 168,953.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,272.96 : 468,493.92 = 112,615.52 : x
  2. Step 2: Convert to fraction form
    312,272.96/468,493.92 = 112,615.52/x
  3. Step 3: Cross multiply
    312,272.96x = 468,493.92 × 112,615.52
  4. Step 4: Simplify right side
    312,272.96x = 52,759,686,417.64
  5. Step 5: Solve for x
    x = 52,759,686,417.64/312,272.96
  6. Step 6: Final answer
    x = 168,953.75

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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.