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Finding the Fourth Proportional to 360,946.80, 541,233.28 and 192,421.84

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Solution

The fourth proportional to 360,946.80, 541,233.28 and 192,421.84 is: 288,533.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,946.80 : 541,233.28 = 192,421.84 : x
  2. Step 2: Convert to fraction form
    360,946.80/541,233.28 = 192,421.84/x
  3. Step 3: Cross multiply
    360,946.80x = 541,233.28 × 192,421.84
  4. Step 4: Simplify right side
    360,946.80x = 104,145,103,606.84
  5. Step 5: Solve for x
    x = 104,145,103,606.84/360,946.80
  6. Step 6: Final answer
    x = 288,533.11

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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.