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Finding the Fourth Proportional to 381,802.40, 572,703.60 and 194,789.60

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Solution

The fourth proportional to 381,802.40, 572,703.60 and 194,789.60 is: 292,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,802.40 : 572,703.60 = 194,789.60 : x
  2. Step 2: Convert to fraction form
    381,802.40/572,703.60 = 194,789.60/x
  3. Step 3: Cross multiply
    381,802.40x = 572,703.60 × 194,789.60
  4. Step 4: Simplify right side
    381,802.40x = 111,556,705,162.56
  5. Step 5: Solve for x
    x = 111,556,705,162.56/381,802.40
  6. Step 6: Final answer
    x = 292,184.40

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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.