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Finding the Fourth Proportional to 381,201.34, 571,583.24 and 144,392.98

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Solution

The fourth proportional to 381,201.34, 571,583.24 and 144,392.98 is: 216,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,201.34 : 571,583.24 = 144,392.98 : x
  2. Step 2: Convert to fraction form
    381,201.34/571,583.24 = 144,392.98/x
  3. Step 3: Cross multiply
    381,201.34x = 571,583.24 × 144,392.98
  4. Step 4: Simplify right side
    381,201.34x = 82,532,607,341.66
  5. Step 5: Solve for x
    x = 82,532,607,341.66/381,201.34
  6. Step 6: Final answer
    x = 216,506.60

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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.