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Finding the Fourth Proportional to 452,405.59, 678,607.95 and 115,446.24

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Solution

The fourth proportional to 452,405.59, 678,607.95 and 115,446.24 is: 173,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,405.59 : 678,607.95 = 115,446.24 : x
  2. Step 2: Convert to fraction form
    452,405.59/678,607.95 = 115,446.24/x
  3. Step 3: Cross multiply
    452,405.59x = 678,607.95 × 115,446.24
  4. Step 4: Simplify right side
    452,405.59x = 78,342,733,879.78
  5. Step 5: Solve for x
    x = 78,342,733,879.78/452,405.59
  6. Step 6: Final answer
    x = 173,169.25

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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.