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Finding the Fourth Proportional to 272,823.40, 410,109.90 and 194,480.20

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Solution

The fourth proportional to 272,823.40, 410,109.90 and 194,480.20 is: 292,343.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,823.40 : 410,109.90 = 194,480.20 : x
  2. Step 2: Convert to fraction form
    272,823.40/410,109.90 = 194,480.20/x
  3. Step 3: Cross multiply
    272,823.40x = 410,109.90 × 194,480.20
  4. Step 4: Simplify right side
    272,823.40x = 79,758,255,373.98
  5. Step 5: Solve for x
    x = 79,758,255,373.98/272,823.40
  6. Step 6: Final answer
    x = 292,343.89

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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.