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Finding the Fourth Proportional to 452,285.14, 678,446.16 and 115,334.52

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Solution

The fourth proportional to 452,285.14, 678,446.16 and 115,334.52 is: 173,006.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,285.14 : 678,446.16 = 115,334.52 : x
  2. Step 2: Convert to fraction form
    452,285.14/678,446.16 = 115,334.52/x
  3. Step 3: Cross multiply
    452,285.14x = 678,446.16 × 115,334.52
  4. Step 4: Simplify right side
    452,285.14x = 78,248,262,209.44
  5. Step 5: Solve for x
    x = 78,248,262,209.44/452,285.14
  6. Step 6: Final answer
    x = 173,006.48

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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.