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Finding the Fourth Proportional to 384,460.83, 576,706.95 and 131,914.98

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Solution

The fourth proportional to 384,460.83, 576,706.95 and 131,914.98 is: 197,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,460.83 : 576,706.95 = 131,914.98 : x
  2. Step 2: Convert to fraction form
    384,460.83/576,706.95 = 131,914.98/x
  3. Step 3: Cross multiply
    384,460.83x = 576,706.95 × 131,914.98
  4. Step 4: Simplify right side
    384,460.83x = 76,076,285,775.11
  5. Step 5: Solve for x
    x = 76,076,285,775.11/384,460.83
  6. Step 6: Final answer
    x = 197,877.86

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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.