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Finding the Fourth Proportional to 408,045.45, 612,068.18 and 275,335.05

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Solution

The fourth proportional to 408,045.45, 612,068.18 and 275,335.05 is: 413,002.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.45 : 612,068.18 = 275,335.05 : x
  2. Step 2: Convert to fraction form
    408,045.45/612,068.18 = 275,335.05/x
  3. Step 3: Cross multiply
    408,045.45x = 612,068.18 × 275,335.05
  4. Step 4: Simplify right side
    408,045.45x = 168,523,821,567.03
  5. Step 5: Solve for x
    x = 168,523,821,567.03/408,045.45
  6. Step 6: Final answer
    x = 413,002.58

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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.