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Finding the Fourth Proportional to 272,838.40, 410,132.40 and 194,495.20

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Solution

The fourth proportional to 272,838.40, 410,132.40 and 194,495.20 is: 292,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,838.40 : 410,132.40 = 194,495.20 : x
  2. Step 2: Convert to fraction form
    272,838.40/410,132.40 = 194,495.20/x
  3. Step 3: Cross multiply
    272,838.40x = 410,132.40 × 194,495.20
  4. Step 4: Simplify right side
    272,838.40x = 79,768,783,164.48
  5. Step 5: Solve for x
    x = 79,768,783,164.48/272,838.40
  6. Step 6: Final answer
    x = 292,366.41

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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.