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Finding the Fourth Proportional to 537,090.80, 804,714.60 and 256,002.80

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Solution

The fourth proportional to 537,090.80, 804,714.60 and 256,002.80 is: 383,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,090.80 : 804,714.60 = 256,002.80 : x
  2. Step 2: Convert to fraction form
    537,090.80/804,714.60 = 256,002.80/x
  3. Step 3: Cross multiply
    537,090.80x = 804,714.60 × 256,002.80
  4. Step 4: Simplify right side
    537,090.80x = 206,009,190,800.88
  5. Step 5: Solve for x
    x = 206,009,190,800.88/537,090.80
  6. Step 6: Final answer
    x = 383,564.92

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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.