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Finding the Fourth Proportional to 483,078.60, 723,743.10 and 413,094.60

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Solution

The fourth proportional to 483,078.60, 723,743.10 and 413,094.60 is: 618,893.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,078.60 : 723,743.10 = 413,094.60 : x
  2. Step 2: Convert to fraction form
    483,078.60/723,743.10 = 413,094.60/x
  3. Step 3: Cross multiply
    483,078.60x = 723,743.10 × 413,094.60
  4. Step 4: Simplify right side
    483,078.60x = 298,974,366,397.26
  5. Step 5: Solve for x
    x = 298,974,366,397.26/483,078.60
  6. Step 6: Final answer
    x = 618,893.83

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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.