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Finding the Fourth Proportional to 322,403.60, 483,259.80 and 122,646.80

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Solution

The fourth proportional to 322,403.60, 483,259.80 and 122,646.80 is: 183,838.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,403.60 : 483,259.80 = 122,646.80 : x
  2. Step 2: Convert to fraction form
    322,403.60/483,259.80 = 122,646.80/x
  3. Step 3: Cross multiply
    322,403.60x = 483,259.80 × 122,646.80
  4. Step 4: Simplify right side
    322,403.60x = 59,270,268,038.64
  5. Step 5: Solve for x
    x = 59,270,268,038.64/322,403.60
  6. Step 6: Final answer
    x = 183,838.73

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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.