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Finding the Fourth Proportional to 362,416.41, 543,582.38 and 96,197.60

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Solution

The fourth proportional to 362,416.41, 543,582.38 and 96,197.60 is: 144,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,416.41 : 543,582.38 = 96,197.60 : x
  2. Step 2: Convert to fraction form
    362,416.41/543,582.38 = 96,197.60/x
  3. Step 3: Cross multiply
    362,416.41x = 543,582.38 × 96,197.60
  4. Step 4: Simplify right side
    362,416.41x = 52,291,321,957.74
  5. Step 5: Solve for x
    x = 52,291,321,957.74/362,416.41
  6. Step 6: Final answer
    x = 144,285.19

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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.