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Finding the Fourth Proportional to 509,025.50, 763,201.26 and 242,827.10

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Solution

The fourth proportional to 509,025.50, 763,201.26 and 242,827.10 is: 364,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,025.50 : 763,201.26 = 242,827.10 : x
  2. Step 2: Convert to fraction form
    509,025.50/763,201.26 = 242,827.10/x
  3. Step 3: Cross multiply
    509,025.50x = 763,201.26 × 242,827.10
  4. Step 4: Simplify right side
    509,025.50x = 185,325,948,682.15
  5. Step 5: Solve for x
    x = 185,325,948,682.15/509,025.50
  6. Step 6: Final answer
    x = 364,079.89

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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.