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Finding the Fourth Proportional to 537,201.60, 804,830.40 and 256,099.20

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Solution

The fourth proportional to 537,201.60, 804,830.40 and 256,099.20 is: 383,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,201.60 : 804,830.40 = 256,099.20 : x
  2. Step 2: Convert to fraction form
    537,201.60/804,830.40 = 256,099.20/x
  3. Step 3: Cross multiply
    537,201.60x = 804,830.40 × 256,099.20
  4. Step 4: Simplify right side
    537,201.60x = 206,116,421,575.68
  5. Step 5: Solve for x
    x = 206,116,421,575.68/537,201.60
  6. Step 6: Final answer
    x = 383,685.42

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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.