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Finding the Fourth Proportional to 288,735.84, 433,103.64 and 78,404.64

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Solution

The fourth proportional to 288,735.84, 433,103.64 and 78,404.64 is: 117,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,735.84 : 433,103.64 = 78,404.64 : x
  2. Step 2: Convert to fraction form
    288,735.84/433,103.64 = 78,404.64/x
  3. Step 3: Cross multiply
    288,735.84x = 433,103.64 × 78,404.64
  4. Step 4: Simplify right side
    288,735.84x = 33,957,334,976.89
  5. Step 5: Solve for x
    x = 33,957,334,976.89/288,735.84
  6. Step 6: Final answer
    x = 117,606.93

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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.