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Finding the Fourth Proportional to 389,186.38, 537,056.35 and 219,409.57

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Solution

The fourth proportional to 389,186.38, 537,056.35 and 219,409.57 is: 302,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,186.38 : 537,056.35 = 219,409.57 : x
  2. Step 2: Convert to fraction form
    389,186.38/537,056.35 = 219,409.57/x
  3. Step 3: Cross multiply
    389,186.38x = 537,056.35 × 219,409.57
  4. Step 4: Simplify right side
    389,186.38x = 117,835,302,819.27
  5. Step 5: Solve for x
    x = 117,835,302,819.27/389,186.38
  6. Step 6: Final answer
    x = 302,773.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.