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Finding the Fourth Proportional to 452,609.30, 678,913.84 and 115,650.58

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Solution

The fourth proportional to 452,609.30, 678,913.84 and 115,650.58 is: 173,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,609.30 : 678,913.84 = 115,650.58 : x
  2. Step 2: Convert to fraction form
    452,609.30/678,913.84 = 115,650.58/x
  3. Step 3: Cross multiply
    452,609.30x = 678,913.84 × 115,650.58
  4. Step 4: Simplify right side
    452,609.30x = 78,516,779,366.03
  5. Step 5: Solve for x
    x = 78,516,779,366.03/452,609.30
  6. Step 6: Final answer
    x = 173,475.84

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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.