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Finding the Fourth Proportional to 511,390.40, 768,007.20 and 494,801.60

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Solution

The fourth proportional to 511,390.40, 768,007.20 and 494,801.60 is: 743,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,390.40 : 768,007.20 = 494,801.60 : x
  2. Step 2: Convert to fraction form
    511,390.40/768,007.20 = 494,801.60/x
  3. Step 3: Cross multiply
    511,390.40x = 768,007.20 × 494,801.60
  4. Step 4: Simplify right side
    511,390.40x = 380,011,191,371.52
  5. Step 5: Solve for x
    x = 380,011,191,371.52/511,390.40
  6. Step 6: Final answer
    x = 743,094.10

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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.