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Finding the Fourth Proportional to 298,130.64, 411,382.85 and 201,544.61

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Solution

The fourth proportional to 298,130.64, 411,382.85 and 201,544.61 is: 278,106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,130.64 : 411,382.85 = 201,544.61 : x
  2. Step 2: Convert to fraction form
    298,130.64/411,382.85 = 201,544.61/x
  3. Step 3: Cross multiply
    298,130.64x = 411,382.85 × 201,544.61
  4. Step 4: Simplify right side
    298,130.64x = 82,911,992,999.30
  5. Step 5: Solve for x
    x = 82,911,992,999.30/298,130.64
  6. Step 6: Final answer
    x = 278,106.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.