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Finding the Fourth Proportional to 381,953.60, 573,120.48 and 289,029.44

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Solution

The fourth proportional to 381,953.60, 573,120.48 and 289,029.44 is: 433,688.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,953.60 : 573,120.48 = 289,029.44 : x
  2. Step 2: Convert to fraction form
    381,953.60/573,120.48 = 289,029.44/x
  3. Step 3: Cross multiply
    381,953.60x = 573,120.48 × 289,029.44
  4. Step 4: Simplify right side
    381,953.60x = 165,648,691,386.93
  5. Step 5: Solve for x
    x = 165,648,691,386.93/381,953.60
  6. Step 6: Final answer
    x = 433,688.00

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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.