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Finding the Fourth Proportional to 273,006.40, 410,384.40 and 194,663.20

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Solution

The fourth proportional to 273,006.40, 410,384.40 and 194,663.20 is: 292,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,006.40 : 410,384.40 = 194,663.20 : x
  2. Step 2: Convert to fraction form
    273,006.40/410,384.40 = 194,663.20/x
  3. Step 3: Cross multiply
    273,006.40x = 410,384.40 × 194,663.20
  4. Step 4: Simplify right side
    273,006.40x = 79,886,740,534.08
  5. Step 5: Solve for x
    x = 79,886,740,534.08/273,006.40
  6. Step 6: Final answer
    x = 292,618.56

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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.