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Finding the Fourth Proportional to 296,130.64, 408,566.46 and 181,289.20

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Solution

The fourth proportional to 296,130.64, 408,566.46 and 181,289.20 is: 250,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,130.64 : 408,566.46 = 181,289.20 : x
  2. Step 2: Convert to fraction form
    296,130.64/408,566.46 = 181,289.20/x
  3. Step 3: Cross multiply
    296,130.64x = 408,566.46 × 181,289.20
  4. Step 4: Simplify right side
    296,130.64x = 74,068,686,680.23
  5. Step 5: Solve for x
    x = 74,068,686,680.23/296,130.64
  6. Step 6: Final answer
    x = 250,121.66

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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.