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Finding the Fourth Proportional to 483,114.60, 723,797.10 and 413,130.60

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Solution

The fourth proportional to 483,114.60, 723,797.10 and 413,130.60 is: 618,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,114.60 : 723,797.10 = 413,130.60 : x
  2. Step 2: Convert to fraction form
    483,114.60/723,797.10 = 413,130.60/x
  3. Step 3: Cross multiply
    483,114.60x = 723,797.10 × 413,130.60
  4. Step 4: Simplify right side
    483,114.60x = 299,022,730,201.26
  5. Step 5: Solve for x
    x = 299,022,730,201.26/483,114.60
  6. Step 6: Final answer
    x = 618,947.82

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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.