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Finding the Fourth Proportional to 536,461.20, 803,379.60 and 255,650.40

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Solution

The fourth proportional to 536,461.20, 803,379.60 and 255,650.40 is: 382,850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,461.20 : 803,379.60 = 255,650.40 : x
  2. Step 2: Convert to fraction form
    536,461.20/803,379.60 = 255,650.40/x
  3. Step 3: Cross multiply
    536,461.20x = 803,379.60 × 255,650.40
  4. Step 4: Simplify right side
    536,461.20x = 205,384,316,091.84
  5. Step 5: Solve for x
    x = 205,384,316,091.84/536,461.20
  6. Step 6: Final answer
    x = 382,850.27

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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.