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Finding the Fourth Proportional to 586,469.40, 879,704.10 and 519,984.60

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Solution

The fourth proportional to 586,469.40, 879,704.10 and 519,984.60 is: 779,976.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,469.40 : 879,704.10 = 519,984.60 : x
  2. Step 2: Convert to fraction form
    586,469.40/879,704.10 = 519,984.60/x
  3. Step 3: Cross multiply
    586,469.40x = 879,704.10 × 519,984.60
  4. Step 4: Simplify right side
    586,469.40x = 457,432,584,556.86
  5. Step 5: Solve for x
    x = 457,432,584,556.86/586,469.40
  6. Step 6: Final answer
    x = 779,976.90

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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.